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Finding the Third Proportional to 9,320.63 and 18,168.75

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Solution

The third proportional to 9,320.63 and 18,168.75 is: 35,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.63 : 18,168.75 = 18,168.75 : x
  2. Step 2: Convert to fraction form
    9,320.63/18,168.75 = 18,168.75/x
  3. Step 3: Cross multiply
    9,320.63x = 18,168.75 × 18,168.75
  4. Step 4: Simplify right side
    9,320.63x = 330,103,476.56
  5. Step 5: Solve for x
    x = 330,103,476.56/9,320.63
  6. Step 6: Final answer
    x = 35,416.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.