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Finding the Third Proportional to 24,125 and 37,124

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Solution

The third proportional to 24,125 and 37,124 is: 57,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,125 : 37,124 = 37,124 : x
  2. Step 2: Convert to fraction form
    24,125/37,124 = 37,124/x
  3. Step 3: Cross multiply
    24,125x = 37,124 × 37,124
  4. Step 4: Simplify right side
    24,125x = 1,378,191,376
  5. Step 5: Solve for x
    x = 1,378,191,376/24,125
  6. Step 6: Final answer
    x = 57,127.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.