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Finding the Third Proportional to 1,978.17 and 3,031.17

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Solution

The third proportional to 1,978.17 and 3,031.17 is: 4,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.17 : 3,031.17 = 3,031.17 : x
  2. Step 2: Convert to fraction form
    1,978.17/3,031.17 = 3,031.17/x
  3. Step 3: Cross multiply
    1,978.17x = 3,031.17 × 3,031.17
  4. Step 4: Simplify right side
    1,978.17x = 9,188,002.94
  5. Step 5: Solve for x
    x = 9,188,002.94/1,978.17
  6. Step 6: Final answer
    x = 4,644.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.