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Finding the Third Proportional to 36,308.25 and 78,648

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Solution

The third proportional to 36,308.25 and 78,648 is: 170,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,308.25 : 78,648 = 78,648 : x
  2. Step 2: Convert to fraction form
    36,308.25/78,648 = 78,648/x
  3. Step 3: Cross multiply
    36,308.25x = 78,648 × 78,648
  4. Step 4: Simplify right side
    36,308.25x = 6,185,507,904
  5. Step 5: Solve for x
    x = 6,185,507,904/36,308.25
  6. Step 6: Final answer
    x = 170,360.95

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