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Finding the Third Proportional to 29,997 and 48,019.50

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Solution

The third proportional to 29,997 and 48,019.50 is: 76,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,997 : 48,019.50 = 48,019.50 : x
  2. Step 2: Convert to fraction form
    29,997/48,019.50 = 48,019.50/x
  3. Step 3: Cross multiply
    29,997x = 48,019.50 × 48,019.50
  4. Step 4: Simplify right side
    29,997x = 2,305,872,380.25
  5. Step 5: Solve for x
    x = 2,305,872,380.25/29,997
  6. Step 6: Final answer
    x = 76,870.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.