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Finding the Third Proportional to 36,498.75 and 77,702.25

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Solution

The third proportional to 36,498.75 and 77,702.25 is: 165,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,498.75 : 77,702.25 = 77,702.25 : x
  2. Step 2: Convert to fraction form
    36,498.75/77,702.25 = 77,702.25/x
  3. Step 3: Cross multiply
    36,498.75x = 77,702.25 × 77,702.25
  4. Step 4: Simplify right side
    36,498.75x = 6,037,639,655.06
  5. Step 5: Solve for x
    x = 6,037,639,655.06/36,498.75
  6. Step 6: Final answer
    x = 165,420.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.