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Finding the Third Proportional to 12,538.13 and 27,280.13

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Solution

The third proportional to 12,538.13 and 27,280.13 is: 59,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.13 : 27,280.13 = 27,280.13 : x
  2. Step 2: Convert to fraction form
    12,538.13/27,280.13 = 27,280.13/x
  3. Step 3: Cross multiply
    12,538.13x = 27,280.13 × 27,280.13
  4. Step 4: Simplify right side
    12,538.13x = 744,205,220.02
  5. Step 5: Solve for x
    x = 744,205,220.02/12,538.13
  6. Step 6: Final answer
    x = 59,355.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.