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Finding the Third Proportional to 32,298.75 and 47,385

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Solution

The third proportional to 32,298.75 and 47,385 is: 69,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298.75 : 47,385 = 47,385 : x
  2. Step 2: Convert to fraction form
    32,298.75/47,385 = 47,385/x
  3. Step 3: Cross multiply
    32,298.75x = 47,385 × 47,385
  4. Step 4: Simplify right side
    32,298.75x = 2,245,338,225
  5. Step 5: Solve for x
    x = 2,245,338,225/32,298.75
  6. Step 6: Final answer
    x = 69,517.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.