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Finding the Third Proportional to 24,127 and 37,898

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Solution

The third proportional to 24,127 and 37,898 is: 59,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,127 : 37,898 = 37,898 : x
  2. Step 2: Convert to fraction form
    24,127/37,898 = 37,898/x
  3. Step 3: Cross multiply
    24,127x = 37,898 × 37,898
  4. Step 4: Simplify right side
    24,127x = 1,436,258,404
  5. Step 5: Solve for x
    x = 1,436,258,404/24,127
  6. Step 6: Final answer
    x = 59,529.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.