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Finding the Third Proportional to 30,674 and 43,413

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Solution

The third proportional to 30,674 and 43,413 is: 61,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674 : 43,413 = 43,413 : x
  2. Step 2: Convert to fraction form
    30,674/43,413 = 43,413/x
  3. Step 3: Cross multiply
    30,674x = 43,413 × 43,413
  4. Step 4: Simplify right side
    30,674x = 1,884,688,569
  5. Step 5: Solve for x
    x = 1,884,688,569/30,674
  6. Step 6: Final answer
    x = 61,442.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.