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Finding the Third Proportional to 40,979 and 63,288

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Solution

The third proportional to 40,979 and 63,288 is: 97,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,979 : 63,288 = 63,288 : x
  2. Step 2: Convert to fraction form
    40,979/63,288 = 63,288/x
  3. Step 3: Cross multiply
    40,979x = 63,288 × 63,288
  4. Step 4: Simplify right side
    40,979x = 4,005,370,944
  5. Step 5: Solve for x
    x = 4,005,370,944/40,979
  6. Step 6: Final answer
    x = 97,742.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.