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Finding the Third Proportional to 6,086.81 and 9,130.22

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Solution

The third proportional to 6,086.81 and 9,130.22 is: 13,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.81 : 9,130.22 = 9,130.22 : x
  2. Step 2: Convert to fraction form
    6,086.81/9,130.22 = 9,130.22/x
  3. Step 3: Cross multiply
    6,086.81x = 9,130.22 × 9,130.22
  4. Step 4: Simplify right side
    6,086.81x = 83,360,894.42
  5. Step 5: Solve for x
    x = 83,360,894.42/6,086.81
  6. Step 6: Final answer
    x = 13,695.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.