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Finding the Third Proportional to 24,558 and 53,037

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Solution

The third proportional to 24,558 and 53,037 is: 114,542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,558 : 53,037 = 53,037 : x
  2. Step 2: Convert to fraction form
    24,558/53,037 = 53,037/x
  3. Step 3: Cross multiply
    24,558x = 53,037 × 53,037
  4. Step 4: Simplify right side
    24,558x = 2,812,923,369
  5. Step 5: Solve for x
    x = 2,812,923,369/24,558
  6. Step 6: Final answer
    x = 114,542.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.