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Finding the Third Proportional to 22,877.25 and 49,615.50

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Solution

The third proportional to 22,877.25 and 49,615.50 is: 107,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.25 : 49,615.50 = 49,615.50 : x
  2. Step 2: Convert to fraction form
    22,877.25/49,615.50 = 49,615.50/x
  3. Step 3: Cross multiply
    22,877.25x = 49,615.50 × 49,615.50
  4. Step 4: Simplify right side
    22,877.25x = 2,461,697,840.25
  5. Step 5: Solve for x
    x = 2,461,697,840.25/22,877.25
  6. Step 6: Final answer
    x = 107,604.62

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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.