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Finding the Third Proportional to 24,264 and 36,537

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Solution

The third proportional to 24,264 and 36,537 is: 55,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264 : 36,537 = 36,537 : x
  2. Step 2: Convert to fraction form
    24,264/36,537 = 36,537/x
  3. Step 3: Cross multiply
    24,264x = 36,537 × 36,537
  4. Step 4: Simplify right side
    24,264x = 1,334,952,369
  5. Step 5: Solve for x
    x = 1,334,952,369/24,264
  6. Step 6: Final answer
    x = 55,017.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.