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Finding the Third Proportional to 12,772.81 and 17,587.84

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Solution

The third proportional to 12,772.81 and 17,587.84 is: 24,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.81 : 17,587.84 = 17,587.84 : x
  2. Step 2: Convert to fraction form
    12,772.81/17,587.84 = 17,587.84/x
  3. Step 3: Cross multiply
    12,772.81x = 17,587.84 × 17,587.84
  4. Step 4: Simplify right side
    12,772.81x = 309,332,007.32
  5. Step 5: Solve for x
    x = 309,332,007.32/12,772.81
  6. Step 6: Final answer
    x = 24,218.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.