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Finding the Third Proportional to 38,998 and 84,475

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Solution

The third proportional to 38,998 and 84,475 is: 182,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,998 : 84,475 = 84,475 : x
  2. Step 2: Convert to fraction form
    38,998/84,475 = 84,475/x
  3. Step 3: Cross multiply
    38,998x = 84,475 × 84,475
  4. Step 4: Simplify right side
    38,998x = 7,136,025,625
  5. Step 5: Solve for x
    x = 7,136,025,625/38,998
  6. Step 6: Final answer
    x = 182,984.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.