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Finding the Third Proportional to 24,380 and 52,459

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Solution

The third proportional to 24,380 and 52,459 is: 112,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380 : 52,459 = 52,459 : x
  2. Step 2: Convert to fraction form
    24,380/52,459 = 52,459/x
  3. Step 3: Cross multiply
    24,380x = 52,459 × 52,459
  4. Step 4: Simplify right side
    24,380x = 2,751,946,681
  5. Step 5: Solve for x
    x = 2,751,946,681/24,380
  6. Step 6: Final answer
    x = 112,877.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.