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Finding the Third Proportional to 6,434.06 and 9,666.56

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Solution

The third proportional to 6,434.06 and 9,666.56 is: 14,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.06 : 9,666.56 = 9,666.56 : x
  2. Step 2: Convert to fraction form
    6,434.06/9,666.56 = 9,666.56/x
  3. Step 3: Cross multiply
    6,434.06x = 9,666.56 × 9,666.56
  4. Step 4: Simplify right side
    6,434.06x = 93,442,430.57
  5. Step 5: Solve for x
    x = 93,442,430.57/6,434.06
  6. Step 6: Final answer
    x = 14,523.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.