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Finding the Third Proportional to 841.31 and 1,516.13

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Solution

The third proportional to 841.31 and 1,516.13 is: 2,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.31 : 1,516.13 = 1,516.13 : x
  2. Step 2: Convert to fraction form
    841.31/1,516.13 = 1,516.13/x
  3. Step 3: Cross multiply
    841.31x = 1,516.13 × 1,516.13
  4. Step 4: Simplify right side
    841.31x = 2,298,635.02
  5. Step 5: Solve for x
    x = 2,298,635.02/841.31
  6. Step 6: Final answer
    x = 2,732.20

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.