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Finding the Third Proportional to 13,061.25 and 19,512.14

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Solution

The third proportional to 13,061.25 and 19,512.14 is: 29,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061.25 : 19,512.14 = 19,512.14 : x
  2. Step 2: Convert to fraction form
    13,061.25/19,512.14 = 19,512.14/x
  3. Step 3: Cross multiply
    13,061.25x = 19,512.14 × 19,512.14
  4. Step 4: Simplify right side
    13,061.25x = 380,723,631.77
  5. Step 5: Solve for x
    x = 380,723,631.77/13,061.25
  6. Step 6: Final answer
    x = 29,149.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.