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Finding the Third Proportional to 22,663.50 and 48,441.75

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Solution

The third proportional to 22,663.50 and 48,441.75 is: 103,541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.50 : 48,441.75 = 48,441.75 : x
  2. Step 2: Convert to fraction form
    22,663.50/48,441.75 = 48,441.75/x
  3. Step 3: Cross multiply
    22,663.50x = 48,441.75 × 48,441.75
  4. Step 4: Simplify right side
    22,663.50x = 2,346,603,143.06
  5. Step 5: Solve for x
    x = 2,346,603,143.06/22,663.50
  6. Step 6: Final answer
    x = 103,541.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.