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Finding the Third Proportional to 6,190.17 and 9,150.47

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Solution

The third proportional to 6,190.17 and 9,150.47 is: 13,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.17 : 9,150.47 = 9,150.47 : x
  2. Step 2: Convert to fraction form
    6,190.17/9,150.47 = 9,150.47/x
  3. Step 3: Cross multiply
    6,190.17x = 9,150.47 × 9,150.47
  4. Step 4: Simplify right side
    6,190.17x = 83,731,078.34
  5. Step 5: Solve for x
    x = 83,731,078.34/6,190.17
  6. Step 6: Final answer
    x = 13,526.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.