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Finding the Third Proportional to 24,352 and 36,640

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Solution

The third proportional to 24,352 and 36,640 is: 55,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,352 : 36,640 = 36,640 : x
  2. Step 2: Convert to fraction form
    24,352/36,640 = 36,640/x
  3. Step 3: Cross multiply
    24,352x = 36,640 × 36,640
  4. Step 4: Simplify right side
    24,352x = 1,342,489,600
  5. Step 5: Solve for x
    x = 1,342,489,600/24,352
  6. Step 6: Final answer
    x = 55,128.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.