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Finding the Third Proportional to 34,458 and 74,424

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Solution

The third proportional to 34,458 and 74,424 is: 160,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,458 : 74,424 = 74,424 : x
  2. Step 2: Convert to fraction form
    34,458/74,424 = 74,424/x
  3. Step 3: Cross multiply
    34,458x = 74,424 × 74,424
  4. Step 4: Simplify right side
    34,458x = 5,538,931,776
  5. Step 5: Solve for x
    x = 5,538,931,776/34,458
  6. Step 6: Final answer
    x = 160,744.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.