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Finding the Third Proportional to 3,580.45 and 5,267.53

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Solution

The third proportional to 3,580.45 and 5,267.53 is: 7,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.45 : 5,267.53 = 5,267.53 : x
  2. Step 2: Convert to fraction form
    3,580.45/5,267.53 = 5,267.53/x
  3. Step 3: Cross multiply
    3,580.45x = 5,267.53 × 5,267.53
  4. Step 4: Simplify right side
    3,580.45x = 27,746,885.47
  5. Step 5: Solve for x
    x = 27,746,885.47/3,580.45
  6. Step 6: Final answer
    x = 7,749.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.