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Finding the Third Proportional to 37,980 and 83,304

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Solution

The third proportional to 37,980 and 83,304 is: 182,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980 : 83,304 = 83,304 : x
  2. Step 2: Convert to fraction form
    37,980/83,304 = 83,304/x
  3. Step 3: Cross multiply
    37,980x = 83,304 × 83,304
  4. Step 4: Simplify right side
    37,980x = 6,939,556,416
  5. Step 5: Solve for x
    x = 6,939,556,416/37,980
  6. Step 6: Final answer
    x = 182,716.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.