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Finding the Third Proportional to 24,188 and 52,534

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Solution

The third proportional to 24,188 and 52,534 is: 114,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188 : 52,534 = 52,534 : x
  2. Step 2: Convert to fraction form
    24,188/52,534 = 52,534/x
  3. Step 3: Cross multiply
    24,188x = 52,534 × 52,534
  4. Step 4: Simplify right side
    24,188x = 2,759,821,156
  5. Step 5: Solve for x
    x = 2,759,821,156/24,188
  6. Step 6: Final answer
    x = 114,098.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.