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Finding the Third Proportional to 4,035.38 and 6,233.06

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Solution

The third proportional to 4,035.38 and 6,233.06 is: 9,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,035.38 : 6,233.06 = 6,233.06 : x
  2. Step 2: Convert to fraction form
    4,035.38/6,233.06 = 6,233.06/x
  3. Step 3: Cross multiply
    4,035.38x = 6,233.06 × 6,233.06
  4. Step 4: Simplify right side
    4,035.38x = 38,851,068.13
  5. Step 5: Solve for x
    x = 38,851,068.13/4,035.38
  6. Step 6: Final answer
    x = 9,627.62

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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.