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Finding the Third Proportional to 6,066.75 and 9,647.25

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Solution

The third proportional to 6,066.75 and 9,647.25 is: 15,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.75 : 9,647.25 = 9,647.25 : x
  2. Step 2: Convert to fraction form
    6,066.75/9,647.25 = 9,647.25/x
  3. Step 3: Cross multiply
    6,066.75x = 9,647.25 × 9,647.25
  4. Step 4: Simplify right side
    6,066.75x = 93,069,432.56
  5. Step 5: Solve for x
    x = 93,069,432.56/6,066.75
  6. Step 6: Final answer
    x = 15,340.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.