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Finding the Third Proportional to 35,702.25 and 77,965.50

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Solution

The third proportional to 35,702.25 and 77,965.50 is: 170,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.25 : 77,965.50 = 77,965.50 : x
  2. Step 2: Convert to fraction form
    35,702.25/77,965.50 = 77,965.50/x
  3. Step 3: Cross multiply
    35,702.25x = 77,965.50 × 77,965.50
  4. Step 4: Simplify right side
    35,702.25x = 6,078,619,190.25
  5. Step 5: Solve for x
    x = 6,078,619,190.25/35,702.25
  6. Step 6: Final answer
    x = 170,258.71

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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.