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Finding the Third Proportional to 25,076 and 38,702

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Solution

The third proportional to 25,076 and 38,702 is: 59,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,076 : 38,702 = 38,702 : x
  2. Step 2: Convert to fraction form
    25,076/38,702 = 38,702/x
  3. Step 3: Cross multiply
    25,076x = 38,702 × 38,702
  4. Step 4: Simplify right side
    25,076x = 1,497,844,804
  5. Step 5: Solve for x
    x = 1,497,844,804/25,076
  6. Step 6: Final answer
    x = 59,732.21

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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.