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Finding the Third Proportional to 1,070.72 and 1,560.52

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Solution

The third proportional to 1,070.72 and 1,560.52 is: 2,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.72 : 1,560.52 = 1,560.52 : x
  2. Step 2: Convert to fraction form
    1,070.72/1,560.52 = 1,560.52/x
  3. Step 3: Cross multiply
    1,070.72x = 1,560.52 × 1,560.52
  4. Step 4: Simplify right side
    1,070.72x = 2,435,209.02
  5. Step 5: Solve for x
    x = 2,435,209.02/1,070.72
  6. Step 6: Final answer
    x = 2,274.37

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.