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Finding the Third Proportional to 6,091.45 and 9,225.14

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Solution

The third proportional to 6,091.45 and 9,225.14 is: 13,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.45 : 9,225.14 = 9,225.14 : x
  2. Step 2: Convert to fraction form
    6,091.45/9,225.14 = 9,225.14/x
  3. Step 3: Cross multiply
    6,091.45x = 9,225.14 × 9,225.14
  4. Step 4: Simplify right side
    6,091.45x = 85,103,219.55
  5. Step 5: Solve for x
    x = 85,103,219.55/6,091.45
  6. Step 6: Final answer
    x = 13,970.92

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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.