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Finding the Third Proportional to 24,029 and 51,610

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Solution

The third proportional to 24,029 and 51,610 is: 110,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,029 : 51,610 = 51,610 : x
  2. Step 2: Convert to fraction form
    24,029/51,610 = 51,610/x
  3. Step 3: Cross multiply
    24,029x = 51,610 × 51,610
  4. Step 4: Simplify right side
    24,029x = 2,663,592,100
  5. Step 5: Solve for x
    x = 2,663,592,100/24,029
  6. Step 6: Final answer
    x = 110,849.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.