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Finding the Third Proportional to 2,977.31 and 6,472.69

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Solution

The third proportional to 2,977.31 and 6,472.69 is: 14,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.31 : 6,472.69 = 6,472.69 : x
  2. Step 2: Convert to fraction form
    2,977.31/6,472.69 = 6,472.69/x
  3. Step 3: Cross multiply
    2,977.31x = 6,472.69 × 6,472.69
  4. Step 4: Simplify right side
    2,977.31x = 41,895,683.47
  5. Step 5: Solve for x
    x = 41,895,683.47/2,977.31
  6. Step 6: Final answer
    x = 14,071.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.