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Finding the Third Proportional to 9,752.91 and 21,166.31

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Solution

The third proportional to 9,752.91 and 21,166.31 is: 45,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.91 : 21,166.31 = 21,166.31 : x
  2. Step 2: Convert to fraction form
    9,752.91/21,166.31 = 21,166.31/x
  3. Step 3: Cross multiply
    9,752.91x = 21,166.31 × 21,166.31
  4. Step 4: Simplify right side
    9,752.91x = 448,012,784.85
  5. Step 5: Solve for x
    x = 448,012,784.85/9,752.91
  6. Step 6: Final answer
    x = 45,936.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.