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Finding the Third Proportional to 22,546.50 and 30,417.75

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Solution

The third proportional to 22,546.50 and 30,417.75 is: 41,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.50 : 30,417.75 = 30,417.75 : x
  2. Step 2: Convert to fraction form
    22,546.50/30,417.75 = 30,417.75/x
  3. Step 3: Cross multiply
    22,546.50x = 30,417.75 × 30,417.75
  4. Step 4: Simplify right side
    22,546.50x = 925,239,515.06
  5. Step 5: Solve for x
    x = 925,239,515.06/22,546.50
  6. Step 6: Final answer
    x = 41,036.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.