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Finding the Third Proportional to 22,825.50 and 49,503

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Solution

The third proportional to 22,825.50 and 49,503 is: 107,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825.50 : 49,503 = 49,503 : x
  2. Step 2: Convert to fraction form
    22,825.50/49,503 = 49,503/x
  3. Step 3: Cross multiply
    22,825.50x = 49,503 × 49,503
  4. Step 4: Simplify right side
    22,825.50x = 2,450,547,009
  5. Step 5: Solve for x
    x = 2,450,547,009/22,825.50
  6. Step 6: Final answer
    x = 107,360.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.