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Finding the Third Proportional to 9,333.14 and 19,759.36

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Solution

The third proportional to 9,333.14 and 19,759.36 is: 41,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.14 : 19,759.36 = 19,759.36 : x
  2. Step 2: Convert to fraction form
    9,333.14/19,759.36 = 19,759.36/x
  3. Step 3: Cross multiply
    9,333.14x = 19,759.36 × 19,759.36
  4. Step 4: Simplify right side
    9,333.14x = 390,432,282.91
  5. Step 5: Solve for x
    x = 390,432,282.91/9,333.14
  6. Step 6: Final answer
    x = 41,832.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.