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Finding the Third Proportional to 3,031.17 and 4,747.99

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Solution

The third proportional to 3,031.17 and 4,747.99 is: 7,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.17 : 4,747.99 = 4,747.99 : x
  2. Step 2: Convert to fraction form
    3,031.17/4,747.99 = 4,747.99/x
  3. Step 3: Cross multiply
    3,031.17x = 4,747.99 × 4,747.99
  4. Step 4: Simplify right side
    3,031.17x = 22,543,429.81
  5. Step 5: Solve for x
    x = 22,543,429.81/3,031.17
  6. Step 6: Final answer
    x = 7,437.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.