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Finding the Third Proportional to 24,385 and 53,423

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Solution

The third proportional to 24,385 and 53,423 is: 117,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385 : 53,423 = 53,423 : x
  2. Step 2: Convert to fraction form
    24,385/53,423 = 53,423/x
  3. Step 3: Cross multiply
    24,385x = 53,423 × 53,423
  4. Step 4: Simplify right side
    24,385x = 2,854,016,929
  5. Step 5: Solve for x
    x = 2,854,016,929/24,385
  6. Step 6: Final answer
    x = 117,039.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.