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Finding the Third Proportional to 4,148.30 and 6,223.08

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Solution

The third proportional to 4,148.30 and 6,223.08 is: 9,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.30 : 6,223.08 = 6,223.08 : x
  2. Step 2: Convert to fraction form
    4,148.30/6,223.08 = 6,223.08/x
  3. Step 3: Cross multiply
    4,148.30x = 6,223.08 × 6,223.08
  4. Step 4: Simplify right side
    4,148.30x = 38,726,701.35
  5. Step 5: Solve for x
    x = 38,726,701.35/4,148.30
  6. Step 6: Final answer
    x = 9,335.57

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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.