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Finding the Third Proportional to 48,801.75 and 72,244.50

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Solution

The third proportional to 48,801.75 and 72,244.50 is: 106,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,801.75 : 72,244.50 = 72,244.50 : x
  2. Step 2: Convert to fraction form
    48,801.75/72,244.50 = 72,244.50/x
  3. Step 3: Cross multiply
    48,801.75x = 72,244.50 × 72,244.50
  4. Step 4: Simplify right side
    48,801.75x = 5,219,267,780.25
  5. Step 5: Solve for x
    x = 5,219,267,780.25/48,801.75
  6. Step 6: Final answer
    x = 106,948.37

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.