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Finding the Third Proportional to 745.14 and 1,565.26

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Solution

The third proportional to 745.14 and 1,565.26 is: 3,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.14 : 1,565.26 = 1,565.26 : x
  2. Step 2: Convert to fraction form
    745.14/1,565.26 = 1,565.26/x
  3. Step 3: Cross multiply
    745.14x = 1,565.26 × 1,565.26
  4. Step 4: Simplify right side
    745.14x = 2,450,044.25
  5. Step 5: Solve for x
    x = 2,450,044.25/745.14
  6. Step 6: Final answer
    x = 3,288.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.