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Finding the Third Proportional to 38,822.63 and 80,925.75

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Solution

The third proportional to 38,822.63 and 80,925.75 is: 168,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,822.63 : 80,925.75 = 80,925.75 : x
  2. Step 2: Convert to fraction form
    38,822.63/80,925.75 = 80,925.75/x
  3. Step 3: Cross multiply
    38,822.63x = 80,925.75 × 80,925.75
  4. Step 4: Simplify right side
    38,822.63x = 6,548,977,013.06
  5. Step 5: Solve for x
    x = 6,548,977,013.06/38,822.63
  6. Step 6: Final answer
    x = 168,689.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.