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Finding the Third Proportional to 1,175.73 and 1,560.16

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Solution

The third proportional to 1,175.73 and 1,560.16 is: 2,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.73 : 1,560.16 = 1,560.16 : x
  2. Step 2: Convert to fraction form
    1,175.73/1,560.16 = 1,560.16/x
  3. Step 3: Cross multiply
    1,175.73x = 1,560.16 × 1,560.16
  4. Step 4: Simplify right side
    1,175.73x = 2,434,098.19
  5. Step 5: Solve for x
    x = 2,434,098.19/1,175.73
  6. Step 6: Final answer
    x = 2,070.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.