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Finding the Third Proportional to 5,572.55 and 8,461.55

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Solution

The third proportional to 5,572.55 and 8,461.55 is: 12,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.55 : 8,461.55 = 8,461.55 : x
  2. Step 2: Convert to fraction form
    5,572.55/8,461.55 = 8,461.55/x
  3. Step 3: Cross multiply
    5,572.55x = 8,461.55 × 8,461.55
  4. Step 4: Simplify right side
    5,572.55x = 71,597,775.52
  5. Step 5: Solve for x
    x = 71,597,775.52/5,572.55
  6. Step 6: Final answer
    x = 12,848.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.