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Finding the Third Proportional to 9,197.63 and 14,238.56

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Solution

The third proportional to 9,197.63 and 14,238.56 is: 22,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.63 : 14,238.56 = 14,238.56 : x
  2. Step 2: Convert to fraction form
    9,197.63/14,238.56 = 14,238.56/x
  3. Step 3: Cross multiply
    9,197.63x = 14,238.56 × 14,238.56
  4. Step 4: Simplify right side
    9,197.63x = 202,736,662.07
  5. Step 5: Solve for x
    x = 202,736,662.07/9,197.63
  6. Step 6: Final answer
    x = 22,042.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.