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Finding the Third Proportional to 41,898 and 55,070

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Solution

The third proportional to 41,898 and 55,070 is: 72,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,898 : 55,070 = 55,070 : x
  2. Step 2: Convert to fraction form
    41,898/55,070 = 55,070/x
  3. Step 3: Cross multiply
    41,898x = 55,070 × 55,070
  4. Step 4: Simplify right side
    41,898x = 3,032,704,900
  5. Step 5: Solve for x
    x = 3,032,704,900/41,898
  6. Step 6: Final answer
    x = 72,383.05

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.