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Finding the Third Proportional to 6,310.41 and 9,900.14

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Solution

The third proportional to 6,310.41 and 9,900.14 is: 15,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.41 : 9,900.14 = 9,900.14 : x
  2. Step 2: Convert to fraction form
    6,310.41/9,900.14 = 9,900.14/x
  3. Step 3: Cross multiply
    6,310.41x = 9,900.14 × 9,900.14
  4. Step 4: Simplify right side
    6,310.41x = 98,012,784.39
  5. Step 5: Solve for x
    x = 98,012,784.39/6,310.41
  6. Step 6: Final answer
    x = 15,531.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.