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Finding the Third Proportional to 48,784.50 and 99,693

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Solution

The third proportional to 48,784.50 and 99,693 is: 203,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784.50 : 99,693 = 99,693 : x
  2. Step 2: Convert to fraction form
    48,784.50/99,693 = 99,693/x
  3. Step 3: Cross multiply
    48,784.50x = 99,693 × 99,693
  4. Step 4: Simplify right side
    48,784.50x = 9,938,694,249
  5. Step 5: Solve for x
    x = 9,938,694,249/48,784.50
  6. Step 6: Final answer
    x = 203,726.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.