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Finding the Third Proportional to 22,087.69 and 49,075.31

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Solution

The third proportional to 22,087.69 and 49,075.31 is: 109,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,087.69 : 49,075.31 = 49,075.31 : x
  2. Step 2: Convert to fraction form
    22,087.69/49,075.31 = 49,075.31/x
  3. Step 3: Cross multiply
    22,087.69x = 49,075.31 × 49,075.31
  4. Step 4: Simplify right side
    22,087.69x = 2,408,386,296.97
  5. Step 5: Solve for x
    x = 2,408,386,296.97/22,087.69
  6. Step 6: Final answer
    x = 109,037.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.