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Finding the Third Proportional to 39,330 and 84,914

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Solution

The third proportional to 39,330 and 84,914 is: 183,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,330 : 84,914 = 84,914 : x
  2. Step 2: Convert to fraction form
    39,330/84,914 = 84,914/x
  3. Step 3: Cross multiply
    39,330x = 84,914 × 84,914
  4. Step 4: Simplify right side
    39,330x = 7,210,387,396
  5. Step 5: Solve for x
    x = 7,210,387,396/39,330
  6. Step 6: Final answer
    x = 183,330.47

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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.