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Finding the Third Proportional to 40,990 and 63,094

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Solution

The third proportional to 40,990 and 63,094 is: 97,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,990 : 63,094 = 63,094 : x
  2. Step 2: Convert to fraction form
    40,990/63,094 = 63,094/x
  3. Step 3: Cross multiply
    40,990x = 63,094 × 63,094
  4. Step 4: Simplify right side
    40,990x = 3,980,852,836
  5. Step 5: Solve for x
    x = 3,980,852,836/40,990
  6. Step 6: Final answer
    x = 97,117.66

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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.