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Finding the Third Proportional to 4,560.05 and 6,562.90

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Solution

The third proportional to 4,560.05 and 6,562.90 is: 9,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.05 : 6,562.90 = 6,562.90 : x
  2. Step 2: Convert to fraction form
    4,560.05/6,562.90 = 6,562.90/x
  3. Step 3: Cross multiply
    4,560.05x = 6,562.90 × 6,562.90
  4. Step 4: Simplify right side
    4,560.05x = 43,071,635.90
  5. Step 5: Solve for x
    x = 43,071,635.90/4,560.05
  6. Step 6: Final answer
    x = 9,445.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.