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Finding the Third Proportional to 32,030.44 and 51,462.84

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Solution

The third proportional to 32,030.44 and 51,462.84 is: 82,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.44 : 51,462.84 = 51,462.84 : x
  2. Step 2: Convert to fraction form
    32,030.44/51,462.84 = 51,462.84/x
  3. Step 3: Cross multiply
    32,030.44x = 51,462.84 × 51,462.84
  4. Step 4: Simplify right side
    32,030.44x = 2,648,424,286.84
  5. Step 5: Solve for x
    x = 2,648,424,286.84/32,030.44
  6. Step 6: Final answer
    x = 82,684.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.