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Finding the Third Proportional to 6,837.38 and 10,277.06

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Solution

The third proportional to 6,837.38 and 10,277.06 is: 15,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.38 : 10,277.06 = 10,277.06 : x
  2. Step 2: Convert to fraction form
    6,837.38/10,277.06 = 10,277.06/x
  3. Step 3: Cross multiply
    6,837.38x = 10,277.06 × 10,277.06
  4. Step 4: Simplify right side
    6,837.38x = 105,618,013.63
  5. Step 5: Solve for x
    x = 105,618,013.63/6,837.38
  6. Step 6: Final answer
    x = 15,447.16

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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.