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Finding the Third Proportional to 23,878.13 and 31,681.13

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Solution

The third proportional to 23,878.13 and 31,681.13 is: 42,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.13 : 31,681.13 = 31,681.13 : x
  2. Step 2: Convert to fraction form
    23,878.13/31,681.13 = 31,681.13/x
  3. Step 3: Cross multiply
    23,878.13x = 31,681.13 × 31,681.13
  4. Step 4: Simplify right side
    23,878.13x = 1,003,693,681.27
  5. Step 5: Solve for x
    x = 1,003,693,681.27/23,878.13
  6. Step 6: Final answer
    x = 42,034.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.