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Finding the Third Proportional to 24,911 and 52,129

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Solution

The third proportional to 24,911 and 52,129 is: 109,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911 : 52,129 = 52,129 : x
  2. Step 2: Convert to fraction form
    24,911/52,129 = 52,129/x
  3. Step 3: Cross multiply
    24,911x = 52,129 × 52,129
  4. Step 4: Simplify right side
    24,911x = 2,717,432,641
  5. Step 5: Solve for x
    x = 2,717,432,641/24,911
  6. Step 6: Final answer
    x = 109,085.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.