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Finding the Third Proportional to 9,227.25 and 14,315.06

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Solution

The third proportional to 9,227.25 and 14,315.06 is: 22,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.25 : 14,315.06 = 14,315.06 : x
  2. Step 2: Convert to fraction form
    9,227.25/14,315.06 = 14,315.06/x
  3. Step 3: Cross multiply
    9,227.25x = 14,315.06 × 14,315.06
  4. Step 4: Simplify right side
    9,227.25x = 204,921,014.38
  5. Step 5: Solve for x
    x = 204,921,014.38/9,227.25
  6. Step 6: Final answer
    x = 22,208.24

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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.