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Finding the Third Proportional to 5,437.13 and 6,576.19

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Solution

The third proportional to 5,437.13 and 6,576.19 is: 7,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.13 : 6,576.19 = 6,576.19 : x
  2. Step 2: Convert to fraction form
    5,437.13/6,576.19 = 6,576.19/x
  3. Step 3: Cross multiply
    5,437.13x = 6,576.19 × 6,576.19
  4. Step 4: Simplify right side
    5,437.13x = 43,246,242.04
  5. Step 5: Solve for x
    x = 43,246,242.04/5,437.13
  6. Step 6: Final answer
    x = 7,953.88

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.