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Finding the Third Proportional to 4,259.25 and 5,605.88

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Solution

The third proportional to 4,259.25 and 5,605.88 is: 7,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.25 : 5,605.88 = 5,605.88 : x
  2. Step 2: Convert to fraction form
    4,259.25/5,605.88 = 5,605.88/x
  3. Step 3: Cross multiply
    4,259.25x = 5,605.88 × 5,605.88
  4. Step 4: Simplify right side
    4,259.25x = 31,425,834.52
  5. Step 5: Solve for x
    x = 31,425,834.52/4,259.25
  6. Step 6: Final answer
    x = 7,378.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.