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Finding the Third Proportional to 15,366 and 33,522

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Solution

The third proportional to 15,366 and 33,522 is: 73,130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,366 : 33,522 = 33,522 : x
  2. Step 2: Convert to fraction form
    15,366/33,522 = 33,522/x
  3. Step 3: Cross multiply
    15,366x = 33,522 × 33,522
  4. Step 4: Simplify right side
    15,366x = 1,123,724,484
  5. Step 5: Solve for x
    x = 1,123,724,484/15,366
  6. Step 6: Final answer
    x = 73,130.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.