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Finding the Third Proportional to 25,927.88 and 38,726.44

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Solution

The third proportional to 25,927.88 and 38,726.44 is: 57,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,927.88 : 38,726.44 = 38,726.44 : x
  2. Step 2: Convert to fraction form
    25,927.88/38,726.44 = 38,726.44/x
  3. Step 3: Cross multiply
    25,927.88x = 38,726.44 × 38,726.44
  4. Step 4: Simplify right side
    25,927.88x = 1,499,736,961.44
  5. Step 5: Solve for x
    x = 1,499,736,961.44/25,927.88
  6. Step 6: Final answer
    x = 57,842.65

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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.