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Finding the Third Proportional to 6,066.38 and 9,423.56

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Solution

The third proportional to 6,066.38 and 9,423.56 is: 14,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.38 : 9,423.56 = 9,423.56 : x
  2. Step 2: Convert to fraction form
    6,066.38/9,423.56 = 9,423.56/x
  3. Step 3: Cross multiply
    6,066.38x = 9,423.56 × 9,423.56
  4. Step 4: Simplify right side
    6,066.38x = 88,803,530.19
  5. Step 5: Solve for x
    x = 88,803,530.19/6,066.38
  6. Step 6: Final answer
    x = 14,638.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.