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Finding the Third Proportional to 7,345.13 and 15,972.19

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Solution

The third proportional to 7,345.13 and 15,972.19 is: 34,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.13 : 15,972.19 = 15,972.19 : x
  2. Step 2: Convert to fraction form
    7,345.13/15,972.19 = 15,972.19/x
  3. Step 3: Cross multiply
    7,345.13x = 15,972.19 × 15,972.19
  4. Step 4: Simplify right side
    7,345.13x = 255,110,773.54
  5. Step 5: Solve for x
    x = 255,110,773.54/7,345.13
  6. Step 6: Final answer
    x = 34,731.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.