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Finding the Third Proportional to 32,513 and 51,497

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Solution

The third proportional to 32,513 and 51,497 is: 81,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513 : 51,497 = 51,497 : x
  2. Step 2: Convert to fraction form
    32,513/51,497 = 51,497/x
  3. Step 3: Cross multiply
    32,513x = 51,497 × 51,497
  4. Step 4: Simplify right side
    32,513x = 2,651,941,009
  5. Step 5: Solve for x
    x = 2,651,941,009/32,513
  6. Step 6: Final answer
    x = 81,565.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.