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Finding the Third Proportional to 32,028 and 51,461

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Solution

The third proportional to 32,028 and 51,461 is: 82,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,028 : 51,461 = 51,461 : x
  2. Step 2: Convert to fraction form
    32,028/51,461 = 51,461/x
  3. Step 3: Cross multiply
    32,028x = 51,461 × 51,461
  4. Step 4: Simplify right side
    32,028x = 2,648,234,521
  5. Step 5: Solve for x
    x = 2,648,234,521/32,028
  6. Step 6: Final answer
    x = 82,684.98

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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.