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Finding the Third Proportional to 24,390 and 54,636

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Solution

The third proportional to 24,390 and 54,636 is: 122,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,390 : 54,636 = 54,636 : x
  2. Step 2: Convert to fraction form
    24,390/54,636 = 54,636/x
  3. Step 3: Cross multiply
    24,390x = 54,636 × 54,636
  4. Step 4: Simplify right side
    24,390x = 2,985,092,496
  5. Step 5: Solve for x
    x = 2,985,092,496/24,390
  6. Step 6: Final answer
    x = 122,390.02

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.