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Finding the Third Proportional to 34,427 and 75,411

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Solution

The third proportional to 34,427 and 75,411 is: 165,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,427 : 75,411 = 75,411 : x
  2. Step 2: Convert to fraction form
    34,427/75,411 = 75,411/x
  3. Step 3: Cross multiply
    34,427x = 75,411 × 75,411
  4. Step 4: Simplify right side
    34,427x = 5,686,818,921
  5. Step 5: Solve for x
    x = 5,686,818,921/34,427
  6. Step 6: Final answer
    x = 165,184.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.