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Finding the Third Proportional to 7,862.06 and 10,011.09

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Solution

The third proportional to 7,862.06 and 10,011.09 is: 12,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.06 : 10,011.09 = 10,011.09 : x
  2. Step 2: Convert to fraction form
    7,862.06/10,011.09 = 10,011.09/x
  3. Step 3: Cross multiply
    7,862.06x = 10,011.09 × 10,011.09
  4. Step 4: Simplify right side
    7,862.06x = 100,221,998.07
  5. Step 5: Solve for x
    x = 100,221,998.07/7,862.06
  6. Step 6: Final answer
    x = 12,747.55

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.