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Finding the Third Proportional to 6,172.31 and 9,312.19

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Solution

The third proportional to 6,172.31 and 9,312.19 is: 14,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.31 : 9,312.19 = 9,312.19 : x
  2. Step 2: Convert to fraction form
    6,172.31/9,312.19 = 9,312.19/x
  3. Step 3: Cross multiply
    6,172.31x = 9,312.19 × 9,312.19
  4. Step 4: Simplify right side
    6,172.31x = 86,716,836.04
  5. Step 5: Solve for x
    x = 86,716,836.04/6,172.31
  6. Step 6: Final answer
    x = 14,049.33

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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.