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Finding the Third Proportional to 701.25 and 1,051.13

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Solution

The third proportional to 701.25 and 1,051.13 is: 1,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.25 : 1,051.13 = 1,051.13 : x
  2. Step 2: Convert to fraction form
    701.25/1,051.13 = 1,051.13/x
  3. Step 3: Cross multiply
    701.25x = 1,051.13 × 1,051.13
  4. Step 4: Simplify right side
    701.25x = 1,104,863.77
  5. Step 5: Solve for x
    x = 1,104,863.77/701.25
  6. Step 6: Final answer
    x = 1,575.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.