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Finding the Third Proportional to 4,192.25 and 9,695.75

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Solution

The third proportional to 4,192.25 and 9,695.75 is: 22,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.25 : 9,695.75 = 9,695.75 : x
  2. Step 2: Convert to fraction form
    4,192.25/9,695.75 = 9,695.75/x
  3. Step 3: Cross multiply
    4,192.25x = 9,695.75 × 9,695.75
  4. Step 4: Simplify right side
    4,192.25x = 94,007,568.06
  5. Step 5: Solve for x
    x = 94,007,568.06/4,192.25
  6. Step 6: Final answer
    x = 22,424.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.