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Finding the Third Proportional to 6,301.55 and 9,835.17

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Solution

The third proportional to 6,301.55 and 9,835.17 is: 15,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.55 : 9,835.17 = 9,835.17 : x
  2. Step 2: Convert to fraction form
    6,301.55/9,835.17 = 9,835.17/x
  3. Step 3: Cross multiply
    6,301.55x = 9,835.17 × 9,835.17
  4. Step 4: Simplify right side
    6,301.55x = 96,730,605.81
  5. Step 5: Solve for x
    x = 96,730,605.81/6,301.55
  6. Step 6: Final answer
    x = 15,350.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.