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Finding the Third Proportional to 49,818 and 74,914

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Solution

The third proportional to 49,818 and 74,914 is: 112,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,818 : 74,914 = 74,914 : x
  2. Step 2: Convert to fraction form
    49,818/74,914 = 74,914/x
  3. Step 3: Cross multiply
    49,818x = 74,914 × 74,914
  4. Step 4: Simplify right side
    49,818x = 5,612,107,396
  5. Step 5: Solve for x
    x = 5,612,107,396/49,818
  6. Step 6: Final answer
    x = 112,652.20

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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.