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Finding the Third Proportional to 25,710 and 38,351

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Solution

The third proportional to 25,710 and 38,351 is: 57,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710 : 38,351 = 38,351 : x
  2. Step 2: Convert to fraction form
    25,710/38,351 = 38,351/x
  3. Step 3: Cross multiply
    25,710x = 38,351 × 38,351
  4. Step 4: Simplify right side
    25,710x = 1,470,799,201
  5. Step 5: Solve for x
    x = 1,470,799,201/25,710
  6. Step 6: Final answer
    x = 57,207.28

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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.