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Finding the Third Proportional to 51,010.75 and 71,707.13

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Solution

The third proportional to 51,010.75 and 71,707.13 is: 100,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,010.75 : 71,707.13 = 71,707.13 : x
  2. Step 2: Convert to fraction form
    51,010.75/71,707.13 = 71,707.13/x
  3. Step 3: Cross multiply
    51,010.75x = 71,707.13 × 71,707.13
  4. Step 4: Simplify right side
    51,010.75x = 5,141,911,775.77
  5. Step 5: Solve for x
    x = 5,141,911,775.77/51,010.75
  6. Step 6: Final answer
    x = 100,800.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.