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Finding the Third Proportional to 8,954.93 and 13,718.11

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Solution

The third proportional to 8,954.93 and 13,718.11 is: 21,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.93 : 13,718.11 = 13,718.11 : x
  2. Step 2: Convert to fraction form
    8,954.93/13,718.11 = 13,718.11/x
  3. Step 3: Cross multiply
    8,954.93x = 13,718.11 × 13,718.11
  4. Step 4: Simplify right side
    8,954.93x = 188,186,524.82
  5. Step 5: Solve for x
    x = 188,186,524.82/8,954.93
  6. Step 6: Final answer
    x = 21,014.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.