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Finding the Third Proportional to 21,658.50 and 48,010.50

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Solution

The third proportional to 21,658.50 and 48,010.50 is: 106,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.50 : 48,010.50 = 48,010.50 : x
  2. Step 2: Convert to fraction form
    21,658.50/48,010.50 = 48,010.50/x
  3. Step 3: Cross multiply
    21,658.50x = 48,010.50 × 48,010.50
  4. Step 4: Simplify right side
    21,658.50x = 2,305,008,110.25
  5. Step 5: Solve for x
    x = 2,305,008,110.25/21,658.50
  6. Step 6: Final answer
    x = 106,425.10

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.