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Finding the Third Proportional to 25,127 and 38,015

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Solution

The third proportional to 25,127 and 38,015 is: 57,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,127 : 38,015 = 38,015 : x
  2. Step 2: Convert to fraction form
    25,127/38,015 = 38,015/x
  3. Step 3: Cross multiply
    25,127x = 38,015 × 38,015
  4. Step 4: Simplify right side
    25,127x = 1,445,140,225
  5. Step 5: Solve for x
    x = 1,445,140,225/25,127
  6. Step 6: Final answer
    x = 57,513.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.