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Finding the Third Proportional to 9,033.19 and 13,677.19

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Solution

The third proportional to 9,033.19 and 13,677.19 is: 20,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.19 : 13,677.19 = 13,677.19 : x
  2. Step 2: Convert to fraction form
    9,033.19/13,677.19 = 13,677.19/x
  3. Step 3: Cross multiply
    9,033.19x = 13,677.19 × 13,677.19
  4. Step 4: Simplify right side
    9,033.19x = 187,065,457.91
  5. Step 5: Solve for x
    x = 187,065,457.91/9,033.19
  6. Step 6: Final answer
    x = 20,708.69

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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.