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Finding the Third Proportional to 8,802 and 10,077.75

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Solution

The third proportional to 8,802 and 10,077.75 is: 11,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802 : 10,077.75 = 10,077.75 : x
  2. Step 2: Convert to fraction form
    8,802/10,077.75 = 10,077.75/x
  3. Step 3: Cross multiply
    8,802x = 10,077.75 × 10,077.75
  4. Step 4: Simplify right side
    8,802x = 101,561,045.06
  5. Step 5: Solve for x
    x = 101,561,045.06/8,802
  6. Step 6: Final answer
    x = 11,538.41

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.