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Finding the Third Proportional to 34,384 and 74,396

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Solution

The third proportional to 34,384 and 74,396 is: 160,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,384 : 74,396 = 74,396 : x
  2. Step 2: Convert to fraction form
    34,384/74,396 = 74,396/x
  3. Step 3: Cross multiply
    34,384x = 74,396 × 74,396
  4. Step 4: Simplify right side
    34,384x = 5,534,764,816
  5. Step 5: Solve for x
    x = 5,534,764,816/34,384
  6. Step 6: Final answer
    x = 160,969.20

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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.