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Finding the Third Proportional to 6,298.07 and 9,434.29

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Solution

The third proportional to 6,298.07 and 9,434.29 is: 14,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.07 : 9,434.29 = 9,434.29 : x
  2. Step 2: Convert to fraction form
    6,298.07/9,434.29 = 9,434.29/x
  3. Step 3: Cross multiply
    6,298.07x = 9,434.29 × 9,434.29
  4. Step 4: Simplify right side
    6,298.07x = 89,005,736.41
  5. Step 5: Solve for x
    x = 89,005,736.41/6,298.07
  6. Step 6: Final answer
    x = 14,132.23

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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.