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Finding the Third Proportional to 4,527.56 and 6,755.91

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Solution

The third proportional to 4,527.56 and 6,755.91 is: 10,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.56 : 6,755.91 = 6,755.91 : x
  2. Step 2: Convert to fraction form
    4,527.56/6,755.91 = 6,755.91/x
  3. Step 3: Cross multiply
    4,527.56x = 6,755.91 × 6,755.91
  4. Step 4: Simplify right side
    4,527.56x = 45,642,269.26
  5. Step 5: Solve for x
    x = 45,642,269.26/4,527.56
  6. Step 6: Final answer
    x = 10,080.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.