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Finding the Third Proportional to 1,070.72 and 1,711.13

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Solution

The third proportional to 1,070.72 and 1,711.13 is: 2,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.72 : 1,711.13 = 1,711.13 : x
  2. Step 2: Convert to fraction form
    1,070.72/1,711.13 = 1,711.13/x
  3. Step 3: Cross multiply
    1,070.72x = 1,711.13 × 1,711.13
  4. Step 4: Simplify right side
    1,070.72x = 2,927,948.77
  5. Step 5: Solve for x
    x = 2,927,948.77/1,070.72
  6. Step 6: Final answer
    x = 2,734.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.