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Finding the Third Proportional to 45,820 and 67,091

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Solution

The third proportional to 45,820 and 67,091 is: 98,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,820 : 67,091 = 67,091 : x
  2. Step 2: Convert to fraction form
    45,820/67,091 = 67,091/x
  3. Step 3: Cross multiply
    45,820x = 67,091 × 67,091
  4. Step 4: Simplify right side
    45,820x = 4,501,202,281
  5. Step 5: Solve for x
    x = 4,501,202,281/45,820
  6. Step 6: Final answer
    x = 98,236.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.