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Finding the Third Proportional to 25,535 and 38,149

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Solution

The third proportional to 25,535 and 38,149 is: 56,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,535 : 38,149 = 38,149 : x
  2. Step 2: Convert to fraction form
    25,535/38,149 = 38,149/x
  3. Step 3: Cross multiply
    25,535x = 38,149 × 38,149
  4. Step 4: Simplify right side
    25,535x = 1,455,346,201
  5. Step 5: Solve for x
    x = 1,455,346,201/25,535
  6. Step 6: Final answer
    x = 56,994.17

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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.