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Finding the Third Proportional to 2,037.66 and 3,156.47

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Solution

The third proportional to 2,037.66 and 3,156.47 is: 4,889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.66 : 3,156.47 = 3,156.47 : x
  2. Step 2: Convert to fraction form
    2,037.66/3,156.47 = 3,156.47/x
  3. Step 3: Cross multiply
    2,037.66x = 3,156.47 × 3,156.47
  4. Step 4: Simplify right side
    2,037.66x = 9,963,294.97
  5. Step 5: Solve for x
    x = 9,963,294.97/2,037.66
  6. Step 6: Final answer
    x = 4,889.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.