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Finding the Third Proportional to 48,801 and 66,289.50

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Solution

The third proportional to 48,801 and 66,289.50 is: 90,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,801 : 66,289.50 = 66,289.50 : x
  2. Step 2: Convert to fraction form
    48,801/66,289.50 = 66,289.50/x
  3. Step 3: Cross multiply
    48,801x = 66,289.50 × 66,289.50
  4. Step 4: Simplify right side
    48,801x = 4,394,297,810.25
  5. Step 5: Solve for x
    x = 4,394,297,810.25/48,801
  6. Step 6: Final answer
    x = 90,045.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.