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Finding the Third Proportional to 25,456 and 38,464

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Solution

The third proportional to 25,456 and 38,464 is: 58,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,456 : 38,464 = 38,464 : x
  2. Step 2: Convert to fraction form
    25,456/38,464 = 38,464/x
  3. Step 3: Cross multiply
    25,456x = 38,464 × 38,464
  4. Step 4: Simplify right side
    25,456x = 1,479,479,296
  5. Step 5: Solve for x
    x = 1,479,479,296/25,456
  6. Step 6: Final answer
    x = 58,119.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.