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Finding the Third Proportional to 10,071 and 15,681.38

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Solution

The third proportional to 10,071 and 15,681.38 is: 24,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071 : 15,681.38 = 15,681.38 : x
  2. Step 2: Convert to fraction form
    10,071/15,681.38 = 15,681.38/x
  3. Step 3: Cross multiply
    10,071x = 15,681.38 × 15,681.38
  4. Step 4: Simplify right side
    10,071x = 245,905,521.89
  5. Step 5: Solve for x
    x = 245,905,521.89/10,071
  6. Step 6: Final answer
    x = 24,417.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.