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Finding the Third Proportional to 36,298.13 and 61,220.81

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Solution

The third proportional to 36,298.13 and 61,220.81 is: 103,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,298.13 : 61,220.81 = 61,220.81 : x
  2. Step 2: Convert to fraction form
    36,298.13/61,220.81 = 61,220.81/x
  3. Step 3: Cross multiply
    36,298.13x = 61,220.81 × 61,220.81
  4. Step 4: Simplify right side
    36,298.13x = 3,747,987,883.16
  5. Step 5: Solve for x
    x = 3,747,987,883.16/36,298.13
  6. Step 6: Final answer
    x = 103,255.69

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.