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Finding the Third Proportional to 12,468.94 and 26,895.38

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Solution

The third proportional to 12,468.94 and 26,895.38 is: 58,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.94 : 26,895.38 = 26,895.38 : x
  2. Step 2: Convert to fraction form
    12,468.94/26,895.38 = 26,895.38/x
  3. Step 3: Cross multiply
    12,468.94x = 26,895.38 × 26,895.38
  4. Step 4: Simplify right side
    12,468.94x = 723,361,196.39
  5. Step 5: Solve for x
    x = 723,361,196.39/12,468.94
  6. Step 6: Final answer
    x = 58,013.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.