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Finding the Third Proportional to 9,238.59 and 19,133.44

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Solution

The third proportional to 9,238.59 and 19,133.44 is: 39,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.59 : 19,133.44 = 19,133.44 : x
  2. Step 2: Convert to fraction form
    9,238.59/19,133.44 = 19,133.44/x
  3. Step 3: Cross multiply
    9,238.59x = 19,133.44 × 19,133.44
  4. Step 4: Simplify right side
    9,238.59x = 366,088,430.57
  5. Step 5: Solve for x
    x = 366,088,430.57/9,238.59
  6. Step 6: Final answer
    x = 39,625.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.