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Finding the Third Proportional to 6,852.38 and 10,353.38

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Solution

The third proportional to 6,852.38 and 10,353.38 is: 15,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.38 : 10,353.38 = 10,353.38 : x
  2. Step 2: Convert to fraction form
    6,852.38/10,353.38 = 10,353.38/x
  3. Step 3: Cross multiply
    6,852.38x = 10,353.38 × 10,353.38
  4. Step 4: Simplify right side
    6,852.38x = 107,192,373.89
  5. Step 5: Solve for x
    x = 107,192,373.89/6,852.38
  6. Step 6: Final answer
    x = 15,643.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.