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Finding the Third Proportional to 5,582.25 and 7,404.75

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Solution

The third proportional to 5,582.25 and 7,404.75 is: 9,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.25 : 7,404.75 = 7,404.75 : x
  2. Step 2: Convert to fraction form
    5,582.25/7,404.75 = 7,404.75/x
  3. Step 3: Cross multiply
    5,582.25x = 7,404.75 × 7,404.75
  4. Step 4: Simplify right side
    5,582.25x = 54,830,322.56
  5. Step 5: Solve for x
    x = 54,830,322.56/5,582.25
  6. Step 6: Final answer
    x = 9,822.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.