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Finding the Third Proportional to 10,631.25 and 22,606.59

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Solution

The third proportional to 10,631.25 and 22,606.59 is: 48,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631.25 : 22,606.59 = 22,606.59 : x
  2. Step 2: Convert to fraction form
    10,631.25/22,606.59 = 22,606.59/x
  3. Step 3: Cross multiply
    10,631.25x = 22,606.59 × 22,606.59
  4. Step 4: Simplify right side
    10,631.25x = 511,058,080.98
  5. Step 5: Solve for x
    x = 511,058,080.98/10,631.25
  6. Step 6: Final answer
    x = 48,071.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.