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Finding the Third Proportional to 40,980 and 63,290

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Solution

The third proportional to 40,980 and 63,290 is: 97,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,980 : 63,290 = 63,290 : x
  2. Step 2: Convert to fraction form
    40,980/63,290 = 63,290/x
  3. Step 3: Cross multiply
    40,980x = 63,290 × 63,290
  4. Step 4: Simplify right side
    40,980x = 4,005,624,100
  5. Step 5: Solve for x
    x = 4,005,624,100/40,980
  6. Step 6: Final answer
    x = 97,745.83

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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.