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Finding the Third Proportional to 49,692 and 73,862

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Solution

The third proportional to 49,692 and 73,862 is: 109,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,692 : 73,862 = 73,862 : x
  2. Step 2: Convert to fraction form
    49,692/73,862 = 73,862/x
  3. Step 3: Cross multiply
    49,692x = 73,862 × 73,862
  4. Step 4: Simplify right side
    49,692x = 5,455,595,044
  5. Step 5: Solve for x
    x = 5,455,595,044/49,692
  6. Step 6: Final answer
    x = 109,788.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.