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Finding the Third Proportional to 36,580 and 78,617.25

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Solution

The third proportional to 36,580 and 78,617.25 is: 168,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580 : 78,617.25 = 78,617.25 : x
  2. Step 2: Convert to fraction form
    36,580/78,617.25 = 78,617.25/x
  3. Step 3: Cross multiply
    36,580x = 78,617.25 × 78,617.25
  4. Step 4: Simplify right side
    36,580x = 6,180,671,997.56
  5. Step 5: Solve for x
    x = 6,180,671,997.56/36,580
  6. Step 6: Final answer
    x = 168,963.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.