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Finding the Third Proportional to 15,597 and 33,785

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Solution

The third proportional to 15,597 and 33,785 is: 73,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597 : 33,785 = 33,785 : x
  2. Step 2: Convert to fraction form
    15,597/33,785 = 33,785/x
  3. Step 3: Cross multiply
    15,597x = 33,785 × 33,785
  4. Step 4: Simplify right side
    15,597x = 1,141,426,225
  5. Step 5: Solve for x
    x = 1,141,426,225/15,597
  6. Step 6: Final answer
    x = 73,182.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.