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Finding the Third Proportional to 41,258 and 61,977.75

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Solution

The third proportional to 41,258 and 61,977.75 is: 93,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,258 : 61,977.75 = 61,977.75 : x
  2. Step 2: Convert to fraction form
    41,258/61,977.75 = 61,977.75/x
  3. Step 3: Cross multiply
    41,258x = 61,977.75 × 61,977.75
  4. Step 4: Simplify right side
    41,258x = 3,841,241,495.06
  5. Step 5: Solve for x
    x = 3,841,241,495.06/41,258
  6. Step 6: Final answer
    x = 93,102.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.