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Finding the Third Proportional to 9,486.49 and 14,401.55

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Solution

The third proportional to 9,486.49 and 14,401.55 is: 21,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.49 : 14,401.55 = 14,401.55 : x
  2. Step 2: Convert to fraction form
    9,486.49/14,401.55 = 14,401.55/x
  3. Step 3: Cross multiply
    9,486.49x = 14,401.55 × 14,401.55
  4. Step 4: Simplify right side
    9,486.49x = 207,404,552.39
  5. Step 5: Solve for x
    x = 207,404,552.39/9,486.49
  6. Step 6: Final answer
    x = 21,863.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.