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Finding the Third Proportional to 32,886 and 49,542.75

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Solution

The third proportional to 32,886 and 49,542.75 is: 74,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886 : 49,542.75 = 49,542.75 : x
  2. Step 2: Convert to fraction form
    32,886/49,542.75 = 49,542.75/x
  3. Step 3: Cross multiply
    32,886x = 49,542.75 × 49,542.75
  4. Step 4: Simplify right side
    32,886x = 2,454,484,077.56
  5. Step 5: Solve for x
    x = 2,454,484,077.56/32,886
  6. Step 6: Final answer
    x = 74,636.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.