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Finding the Third Proportional to 39,281 and 84,837.25

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Solution

The third proportional to 39,281 and 84,837.25 is: 183,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,281 : 84,837.25 = 84,837.25 : x
  2. Step 2: Convert to fraction form
    39,281/84,837.25 = 84,837.25/x
  3. Step 3: Cross multiply
    39,281x = 84,837.25 × 84,837.25
  4. Step 4: Simplify right side
    39,281x = 7,197,358,987.56
  5. Step 5: Solve for x
    x = 7,197,358,987.56/39,281
  6. Step 6: Final answer
    x = 183,227.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.