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Finding the Third Proportional to 24,358 and 52,412

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Solution

The third proportional to 24,358 and 52,412 is: 112,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358 : 52,412 = 52,412 : x
  2. Step 2: Convert to fraction form
    24,358/52,412 = 52,412/x
  3. Step 3: Cross multiply
    24,358x = 52,412 × 52,412
  4. Step 4: Simplify right side
    24,358x = 2,747,017,744
  5. Step 5: Solve for x
    x = 2,747,017,744/24,358
  6. Step 6: Final answer
    x = 112,776.82

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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.