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Finding the Third Proportional to 6,501.38 and 15,342.19

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Solution

The third proportional to 6,501.38 and 15,342.19 is: 36,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.38 : 15,342.19 = 15,342.19 : x
  2. Step 2: Convert to fraction form
    6,501.38/15,342.19 = 15,342.19/x
  3. Step 3: Cross multiply
    6,501.38x = 15,342.19 × 15,342.19
  4. Step 4: Simplify right side
    6,501.38x = 235,382,717.29
  5. Step 5: Solve for x
    x = 235,382,717.29/6,501.38
  6. Step 6: Final answer
    x = 36,205.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.