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Finding the Third Proportional to 42,616.13 and 66,852.84

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Solution

The third proportional to 42,616.13 and 66,852.84 is: 104,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,616.13 : 66,852.84 = 66,852.84 : x
  2. Step 2: Convert to fraction form
    42,616.13/66,852.84 = 66,852.84/x
  3. Step 3: Cross multiply
    42,616.13x = 66,852.84 × 66,852.84
  4. Step 4: Simplify right side
    42,616.13x = 4,469,302,717.46
  5. Step 5: Solve for x
    x = 4,469,302,717.46/42,616.13
  6. Step 6: Final answer
    x = 104,873.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.