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Finding the Third Proportional to 25,422 and 38,669

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Solution

The third proportional to 25,422 and 38,669 is: 58,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422 : 38,669 = 38,669 : x
  2. Step 2: Convert to fraction form
    25,422/38,669 = 38,669/x
  3. Step 3: Cross multiply
    25,422x = 38,669 × 38,669
  4. Step 4: Simplify right side
    25,422x = 1,495,291,561
  5. Step 5: Solve for x
    x = 1,495,291,561/25,422
  6. Step 6: Final answer
    x = 58,818.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.