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Finding the Third Proportional to 22,784.63 and 49,654.69

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Solution

The third proportional to 22,784.63 and 49,654.69 is: 108,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.63 : 49,654.69 = 49,654.69 : x
  2. Step 2: Convert to fraction form
    22,784.63/49,654.69 = 49,654.69/x
  3. Step 3: Cross multiply
    22,784.63x = 49,654.69 × 49,654.69
  4. Step 4: Simplify right side
    22,784.63x = 2,465,587,990.72
  5. Step 5: Solve for x
    x = 2,465,587,990.72/22,784.63
  6. Step 6: Final answer
    x = 108,212.80

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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.