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Finding the Third Proportional to 5,971.50 and 6,565.50

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Solution

The third proportional to 5,971.50 and 6,565.50 is: 7,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.50 : 6,565.50 = 6,565.50 : x
  2. Step 2: Convert to fraction form
    5,971.50/6,565.50 = 6,565.50/x
  3. Step 3: Cross multiply
    5,971.50x = 6,565.50 × 6,565.50
  4. Step 4: Simplify right side
    5,971.50x = 43,105,790.25
  5. Step 5: Solve for x
    x = 43,105,790.25/5,971.50
  6. Step 6: Final answer
    x = 7,218.59

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.