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Finding the Third Proportional to 22,638.63 and 49,166.75

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Solution

The third proportional to 22,638.63 and 49,166.75 is: 106,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.63 : 49,166.75 = 49,166.75 : x
  2. Step 2: Convert to fraction form
    22,638.63/49,166.75 = 49,166.75/x
  3. Step 3: Cross multiply
    22,638.63x = 49,166.75 × 49,166.75
  4. Step 4: Simplify right side
    22,638.63x = 2,417,369,305.56
  5. Step 5: Solve for x
    x = 2,417,369,305.56/22,638.63
  6. Step 6: Final answer
    x = 106,780.75

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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.