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Finding the Third Proportional to 10,509.09 and 21,991.88

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Solution

The third proportional to 10,509.09 and 21,991.88 is: 46,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.09 : 21,991.88 = 21,991.88 : x
  2. Step 2: Convert to fraction form
    10,509.09/21,991.88 = 21,991.88/x
  3. Step 3: Cross multiply
    10,509.09x = 21,991.88 × 21,991.88
  4. Step 4: Simplify right side
    10,509.09x = 483,642,566.02
  5. Step 5: Solve for x
    x = 483,642,566.02/10,509.09
  6. Step 6: Final answer
    x = 46,021.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.