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Finding the Third Proportional to 9,351.14 and 19,998.28

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Solution

The third proportional to 9,351.14 and 19,998.28 is: 42,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.14 : 19,998.28 = 19,998.28 : x
  2. Step 2: Convert to fraction form
    9,351.14/19,998.28 = 19,998.28/x
  3. Step 3: Cross multiply
    9,351.14x = 19,998.28 × 19,998.28
  4. Step 4: Simplify right side
    9,351.14x = 399,931,252.95
  5. Step 5: Solve for x
    x = 399,931,252.95/9,351.14
  6. Step 6: Final answer
    x = 42,768.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.