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Finding the Third Proportional to 24,125 and 51,711

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Solution

The third proportional to 24,125 and 51,711 is: 110,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,125 : 51,711 = 51,711 : x
  2. Step 2: Convert to fraction form
    24,125/51,711 = 51,711/x
  3. Step 3: Cross multiply
    24,125x = 51,711 × 51,711
  4. Step 4: Simplify right side
    24,125x = 2,674,027,521
  5. Step 5: Solve for x
    x = 2,674,027,521/24,125
  6. Step 6: Final answer
    x = 110,840.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.