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Finding the Third Proportional to 9,203.63 and 14,164.24

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Solution

The third proportional to 9,203.63 and 14,164.24 is: 21,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.63 : 14,164.24 = 14,164.24 : x
  2. Step 2: Convert to fraction form
    9,203.63/14,164.24 = 14,164.24/x
  3. Step 3: Cross multiply
    9,203.63x = 14,164.24 × 14,164.24
  4. Step 4: Simplify right side
    9,203.63x = 200,625,756.75
  5. Step 5: Solve for x
    x = 200,625,756.75/9,203.63
  6. Step 6: Final answer
    x = 21,798.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.