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Finding the Third Proportional to 22,792.50 and 48,064.50

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Solution

The third proportional to 22,792.50 and 48,064.50 is: 101,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792.50 : 48,064.50 = 48,064.50 : x
  2. Step 2: Convert to fraction form
    22,792.50/48,064.50 = 48,064.50/x
  3. Step 3: Cross multiply
    22,792.50x = 48,064.50 × 48,064.50
  4. Step 4: Simplify right side
    22,792.50x = 2,310,196,160.25
  5. Step 5: Solve for x
    x = 2,310,196,160.25/22,792.50
  6. Step 6: Final answer
    x = 101,357.73

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.