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Finding the Third Proportional to 15,528.38 and 33,817.50

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Solution

The third proportional to 15,528.38 and 33,817.50 is: 73,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,528.38 : 33,817.50 = 33,817.50 : x
  2. Step 2: Convert to fraction form
    15,528.38/33,817.50 = 33,817.50/x
  3. Step 3: Cross multiply
    15,528.38x = 33,817.50 × 33,817.50
  4. Step 4: Simplify right side
    15,528.38x = 1,143,623,306.25
  5. Step 5: Solve for x
    x = 1,143,623,306.25/15,528.38
  6. Step 6: Final answer
    x = 73,647.33

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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.