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Finding the Third Proportional to 13,132.13 and 19,715.06

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Solution

The third proportional to 13,132.13 and 19,715.06 is: 29,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.13 : 19,715.06 = 19,715.06 : x
  2. Step 2: Convert to fraction form
    13,132.13/19,715.06 = 19,715.06/x
  3. Step 3: Cross multiply
    13,132.13x = 19,715.06 × 19,715.06
  4. Step 4: Simplify right side
    13,132.13x = 388,683,689.38
  5. Step 5: Solve for x
    x = 388,683,689.38/13,132.13
  6. Step 6: Final answer
    x = 29,597.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.