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Finding the Third Proportional to 1,015.71 and 1,516.92

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Solution

The third proportional to 1,015.71 and 1,516.92 is: 2,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.71 : 1,516.92 = 1,516.92 : x
  2. Step 2: Convert to fraction form
    1,015.71/1,516.92 = 1,516.92/x
  3. Step 3: Cross multiply
    1,015.71x = 1,516.92 × 1,516.92
  4. Step 4: Simplify right side
    1,015.71x = 2,301,051.97
  5. Step 5: Solve for x
    x = 2,301,051.97/1,015.71
  6. Step 6: Final answer
    x = 2,265.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.