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Finding the Third Proportional to 38,927.25 and 51,320.25

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Solution

The third proportional to 38,927.25 and 51,320.25 is: 67,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,927.25 : 51,320.25 = 51,320.25 : x
  2. Step 2: Convert to fraction form
    38,927.25/51,320.25 = 51,320.25/x
  3. Step 3: Cross multiply
    38,927.25x = 51,320.25 × 51,320.25
  4. Step 4: Simplify right side
    38,927.25x = 2,633,768,060.06
  5. Step 5: Solve for x
    x = 2,633,768,060.06/38,927.25
  6. Step 6: Final answer
    x = 67,658.72

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.