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Finding the Third Proportional to 36,278.50 and 53,175.75

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Solution

The third proportional to 36,278.50 and 53,175.75 is: 77,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,278.50 : 53,175.75 = 53,175.75 : x
  2. Step 2: Convert to fraction form
    36,278.50/53,175.75 = 53,175.75/x
  3. Step 3: Cross multiply
    36,278.50x = 53,175.75 × 53,175.75
  4. Step 4: Simplify right side
    36,278.50x = 2,827,660,388.06
  5. Step 5: Solve for x
    x = 2,827,660,388.06/36,278.50
  6. Step 6: Final answer
    x = 77,943.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.