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Finding the Third Proportional to 13,600.97 and 28,432.13

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Solution

The third proportional to 13,600.97 and 28,432.13 is: 59,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.97 : 28,432.13 = 28,432.13 : x
  2. Step 2: Convert to fraction form
    13,600.97/28,432.13 = 28,432.13/x
  3. Step 3: Cross multiply
    13,600.97x = 28,432.13 × 28,432.13
  4. Step 4: Simplify right side
    13,600.97x = 808,385,732.02
  5. Step 5: Solve for x
    x = 808,385,732.02/13,600.97
  6. Step 6: Final answer
    x = 59,435.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.