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Finding the Third Proportional to 5,275.97 and 7,666.31

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Solution

The third proportional to 5,275.97 and 7,666.31 is: 11,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.97 : 7,666.31 = 7,666.31 : x
  2. Step 2: Convert to fraction form
    5,275.97/7,666.31 = 7,666.31/x
  3. Step 3: Cross multiply
    5,275.97x = 7,666.31 × 7,666.31
  4. Step 4: Simplify right side
    5,275.97x = 58,772,347.35
  5. Step 5: Solve for x
    x = 58,772,347.35/5,275.97
  6. Step 6: Final answer
    x = 11,139.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.