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Finding the Third Proportional to 565.75 and 1,145.75

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Solution

The third proportional to 565.75 and 1,145.75 is: 2,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.75 : 1,145.75 = 1,145.75 : x
  2. Step 2: Convert to fraction form
    565.75/1,145.75 = 1,145.75/x
  3. Step 3: Cross multiply
    565.75x = 1,145.75 × 1,145.75
  4. Step 4: Simplify right side
    565.75x = 1,312,743.06
  5. Step 5: Solve for x
    x = 1,312,743.06/565.75
  6. Step 6: Final answer
    x = 2,320.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.