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Finding the Third Proportional to 39,294 and 84,798

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Solution

The third proportional to 39,294 and 84,798 is: 182,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,294 : 84,798 = 84,798 : x
  2. Step 2: Convert to fraction form
    39,294/84,798 = 84,798/x
  3. Step 3: Cross multiply
    39,294x = 84,798 × 84,798
  4. Step 4: Simplify right side
    39,294x = 7,190,700,804
  5. Step 5: Solve for x
    x = 7,190,700,804/39,294
  6. Step 6: Final answer
    x = 182,997.42

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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.