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Finding the Third Proportional to 25,018 and 38,359

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Solution

The third proportional to 25,018 and 38,359 is: 58,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,018 : 38,359 = 38,359 : x
  2. Step 2: Convert to fraction form
    25,018/38,359 = 38,359/x
  3. Step 3: Cross multiply
    25,018x = 38,359 × 38,359
  4. Step 4: Simplify right side
    25,018x = 1,471,412,881
  5. Step 5: Solve for x
    x = 1,471,412,881/25,018
  6. Step 6: Final answer
    x = 58,814.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.