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Finding the Third Proportional to 6,159.38 and 9,466.88

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Solution

The third proportional to 6,159.38 and 9,466.88 is: 14,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.38 : 9,466.88 = 9,466.88 : x
  2. Step 2: Convert to fraction form
    6,159.38/9,466.88 = 9,466.88/x
  3. Step 3: Cross multiply
    6,159.38x = 9,466.88 × 9,466.88
  4. Step 4: Simplify right side
    6,159.38x = 89,621,722.27
  5. Step 5: Solve for x
    x = 89,621,722.27/6,159.38
  6. Step 6: Final answer
    x = 14,550.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.