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Finding the Third Proportional to 25,685 and 38,365

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Solution

The third proportional to 25,685 and 38,365 is: 57,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685 : 38,365 = 38,365 : x
  2. Step 2: Convert to fraction form
    25,685/38,365 = 38,365/x
  3. Step 3: Cross multiply
    25,685x = 38,365 × 38,365
  4. Step 4: Simplify right side
    25,685x = 1,471,873,225
  5. Step 5: Solve for x
    x = 1,471,873,225/25,685
  6. Step 6: Final answer
    x = 57,304.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.