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Finding the Third Proportional to 22,697.72 and 49,541.63

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Solution

The third proportional to 22,697.72 and 49,541.63 is: 108,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.72 : 49,541.63 = 49,541.63 : x
  2. Step 2: Convert to fraction form
    22,697.72/49,541.63 = 49,541.63/x
  3. Step 3: Cross multiply
    22,697.72x = 49,541.63 × 49,541.63
  4. Step 4: Simplify right side
    22,697.72x = 2,454,372,607.64
  5. Step 5: Solve for x
    x = 2,454,372,607.64/22,697.72
  6. Step 6: Final answer
    x = 108,133.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.