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Finding the Third Proportional to 12,894.19 and 18,521.16

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Solution

The third proportional to 12,894.19 and 18,521.16 is: 26,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.19 : 18,521.16 = 18,521.16 : x
  2. Step 2: Convert to fraction form
    12,894.19/18,521.16 = 18,521.16/x
  3. Step 3: Cross multiply
    12,894.19x = 18,521.16 × 18,521.16
  4. Step 4: Simplify right side
    12,894.19x = 343,033,228.84
  5. Step 5: Solve for x
    x = 343,033,228.84/12,894.19
  6. Step 6: Final answer
    x = 26,603.71

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.