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Finding the Third Proportional to 38,508.50 and 51,509

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Solution

The third proportional to 38,508.50 and 51,509 is: 68,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.50 : 51,509 = 51,509 : x
  2. Step 2: Convert to fraction form
    38,508.50/51,509 = 51,509/x
  3. Step 3: Cross multiply
    38,508.50x = 51,509 × 51,509
  4. Step 4: Simplify right side
    38,508.50x = 2,653,177,081
  5. Step 5: Solve for x
    x = 2,653,177,081/38,508.50
  6. Step 6: Final answer
    x = 68,898.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.