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Finding the Third Proportional to 5,232.09 and 8,820.14

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Solution

The third proportional to 5,232.09 and 8,820.14 is: 14,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.09 : 8,820.14 = 8,820.14 : x
  2. Step 2: Convert to fraction form
    5,232.09/8,820.14 = 8,820.14/x
  3. Step 3: Cross multiply
    5,232.09x = 8,820.14 × 8,820.14
  4. Step 4: Simplify right side
    5,232.09x = 77,794,880.64
  5. Step 5: Solve for x
    x = 77,794,880.64/5,232.09
  6. Step 6: Final answer
    x = 14,868.79

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.