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Finding the Third Proportional to 9,200.81 and 19,859.63

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Solution

The third proportional to 9,200.81 and 19,859.63 is: 42,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.81 : 19,859.63 = 19,859.63 : x
  2. Step 2: Convert to fraction form
    9,200.81/19,859.63 = 19,859.63/x
  3. Step 3: Cross multiply
    9,200.81x = 19,859.63 × 19,859.63
  4. Step 4: Simplify right side
    9,200.81x = 394,404,705.14
  5. Step 5: Solve for x
    x = 394,404,705.14/9,200.81
  6. Step 6: Final answer
    x = 42,866.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.