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Finding the Third Proportional to 24,476 and 37,688

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Solution

The third proportional to 24,476 and 37,688 is: 58,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476 : 37,688 = 37,688 : x
  2. Step 2: Convert to fraction form
    24,476/37,688 = 37,688/x
  3. Step 3: Cross multiply
    24,476x = 37,688 × 37,688
  4. Step 4: Simplify right side
    24,476x = 1,420,385,344
  5. Step 5: Solve for x
    x = 1,420,385,344/24,476
  6. Step 6: Final answer
    x = 58,031.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.