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Finding the Third Proportional to 31,650.75 and 74,714.91

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Solution

The third proportional to 31,650.75 and 74,714.91 is: 176,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.75 : 74,714.91 = 74,714.91 : x
  2. Step 2: Convert to fraction form
    31,650.75/74,714.91 = 74,714.91/x
  3. Step 3: Cross multiply
    31,650.75x = 74,714.91 × 74,714.91
  4. Step 4: Simplify right side
    31,650.75x = 5,582,317,215.95
  5. Step 5: Solve for x
    x = 5,582,317,215.95/31,650.75
  6. Step 6: Final answer
    x = 176,372.35

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.