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Finding the Third Proportional to 9,522.56 and 14,409.14

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Solution

The third proportional to 9,522.56 and 14,409.14 is: 21,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.56 : 14,409.14 = 14,409.14 : x
  2. Step 2: Convert to fraction form
    9,522.56/14,409.14 = 14,409.14/x
  3. Step 3: Cross multiply
    9,522.56x = 14,409.14 × 14,409.14
  4. Step 4: Simplify right side
    9,522.56x = 207,623,333.55
  5. Step 5: Solve for x
    x = 207,623,333.55/9,522.56
  6. Step 6: Final answer
    x = 21,803.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.