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Finding the Third Proportional to 24,042 and 37,895

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Solution

The third proportional to 24,042 and 37,895 is: 59,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,042 : 37,895 = 37,895 : x
  2. Step 2: Convert to fraction form
    24,042/37,895 = 37,895/x
  3. Step 3: Cross multiply
    24,042x = 37,895 × 37,895
  4. Step 4: Simplify right side
    24,042x = 1,436,031,025
  5. Step 5: Solve for x
    x = 1,436,031,025/24,042
  6. Step 6: Final answer
    x = 59,730.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.