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Finding the Third Proportional to 5,026.50 and 6,567.75

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Solution

The third proportional to 5,026.50 and 6,567.75 is: 8,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.50 : 6,567.75 = 6,567.75 : x
  2. Step 2: Convert to fraction form
    5,026.50/6,567.75 = 6,567.75/x
  3. Step 3: Cross multiply
    5,026.50x = 6,567.75 × 6,567.75
  4. Step 4: Simplify right side
    5,026.50x = 43,135,340.06
  5. Step 5: Solve for x
    x = 43,135,340.06/5,026.50
  6. Step 6: Final answer
    x = 8,581.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.