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Finding the Third Proportional to 31,346.44 and 61,122.94

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Solution

The third proportional to 31,346.44 and 61,122.94 is: 119,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346.44 : 61,122.94 = 61,122.94 : x
  2. Step 2: Convert to fraction form
    31,346.44/61,122.94 = 61,122.94/x
  3. Step 3: Cross multiply
    31,346.44x = 61,122.94 × 61,122.94
  4. Step 4: Simplify right side
    31,346.44x = 3,736,013,488.63
  5. Step 5: Solve for x
    x = 3,736,013,488.63/31,346.44
  6. Step 6: Final answer
    x = 119,184.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.