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Finding the Third Proportional to 15,815.25 and 24,681.38

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Solution

The third proportional to 15,815.25 and 24,681.38 is: 38,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.25 : 24,681.38 = 24,681.38 : x
  2. Step 2: Convert to fraction form
    15,815.25/24,681.38 = 24,681.38/x
  3. Step 3: Cross multiply
    15,815.25x = 24,681.38 × 24,681.38
  4. Step 4: Simplify right side
    15,815.25x = 609,170,271.89
  5. Step 5: Solve for x
    x = 609,170,271.89/15,815.25
  6. Step 6: Final answer
    x = 38,517.90

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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.