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Finding the Third Proportional to 33,943 and 74,528

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Solution

The third proportional to 33,943 and 74,528 is: 163,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,943 : 74,528 = 74,528 : x
  2. Step 2: Convert to fraction form
    33,943/74,528 = 74,528/x
  3. Step 3: Cross multiply
    33,943x = 74,528 × 74,528
  4. Step 4: Simplify right side
    33,943x = 5,554,422,784
  5. Step 5: Solve for x
    x = 5,554,422,784/33,943
  6. Step 6: Final answer
    x = 163,639.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.