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Finding the Third Proportional to 8,294.25 and 19,215.75

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Solution

The third proportional to 8,294.25 and 19,215.75 is: 44,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.25 : 19,215.75 = 19,215.75 : x
  2. Step 2: Convert to fraction form
    8,294.25/19,215.75 = 19,215.75/x
  3. Step 3: Cross multiply
    8,294.25x = 19,215.75 × 19,215.75
  4. Step 4: Simplify right side
    8,294.25x = 369,245,048.06
  5. Step 5: Solve for x
    x = 369,245,048.06/8,294.25
  6. Step 6: Final answer
    x = 44,518.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.