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Finding the Third Proportional to 24,476 and 53,447

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Solution

The third proportional to 24,476 and 53,447 is: 116,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476 : 53,447 = 53,447 : x
  2. Step 2: Convert to fraction form
    24,476/53,447 = 53,447/x
  3. Step 3: Cross multiply
    24,476x = 53,447 × 53,447
  4. Step 4: Simplify right side
    24,476x = 2,856,581,809
  5. Step 5: Solve for x
    x = 2,856,581,809/24,476
  6. Step 6: Final answer
    x = 116,709.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.