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Finding the Third Proportional to 36,929.25 and 57,283.88

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Solution

The third proportional to 36,929.25 and 57,283.88 is: 88,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,929.25 : 57,283.88 = 57,283.88 : x
  2. Step 2: Convert to fraction form
    36,929.25/57,283.88 = 57,283.88/x
  3. Step 3: Cross multiply
    36,929.25x = 57,283.88 × 57,283.88
  4. Step 4: Simplify right side
    36,929.25x = 3,281,442,335.02
  5. Step 5: Solve for x
    x = 3,281,442,335.02/36,929.25
  6. Step 6: Final answer
    x = 88,857.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.