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Finding the Third Proportional to 17,702.44 and 38,309.06

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Solution

The third proportional to 17,702.44 and 38,309.06 is: 82,902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.44 : 38,309.06 = 38,309.06 : x
  2. Step 2: Convert to fraction form
    17,702.44/38,309.06 = 38,309.06/x
  3. Step 3: Cross multiply
    17,702.44x = 38,309.06 × 38,309.06
  4. Step 4: Simplify right side
    17,702.44x = 1,467,584,269.63
  5. Step 5: Solve for x
    x = 1,467,584,269.63/17,702.44
  6. Step 6: Final answer
    x = 82,902.95

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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.