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Finding the Third Proportional to 12,538.13 and 29,929.50

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Solution

The third proportional to 12,538.13 and 29,929.50 is: 71,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.13 : 29,929.50 = 29,929.50 : x
  2. Step 2: Convert to fraction form
    12,538.13/29,929.50 = 29,929.50/x
  3. Step 3: Cross multiply
    12,538.13x = 29,929.50 × 29,929.50
  4. Step 4: Simplify right side
    12,538.13x = 895,774,970.25
  5. Step 5: Solve for x
    x = 895,774,970.25/12,538.13
  6. Step 6: Final answer
    x = 71,444.09

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.