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Finding the Third Proportional to 22,966.75 and 41,400.50

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Solution

The third proportional to 22,966.75 and 41,400.50 is: 74,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.75 : 41,400.50 = 41,400.50 : x
  2. Step 2: Convert to fraction form
    22,966.75/41,400.50 = 41,400.50/x
  3. Step 3: Cross multiply
    22,966.75x = 41,400.50 × 41,400.50
  4. Step 4: Simplify right side
    22,966.75x = 1,714,001,400.25
  5. Step 5: Solve for x
    x = 1,714,001,400.25/22,966.75
  6. Step 6: Final answer
    x = 74,629.69

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.