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Finding the Third Proportional to 22,182.19 and 34,366.78

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Solution

The third proportional to 22,182.19 and 34,366.78 is: 53,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.19 : 34,366.78 = 34,366.78 : x
  2. Step 2: Convert to fraction form
    22,182.19/34,366.78 = 34,366.78/x
  3. Step 3: Cross multiply
    22,182.19x = 34,366.78 × 34,366.78
  4. Step 4: Simplify right side
    22,182.19x = 1,181,075,653.49
  5. Step 5: Solve for x
    x = 1,181,075,653.49/22,182.19
  6. Step 6: Final answer
    x = 53,244.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.