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Finding the Third Proportional to 10,695.80 and 24,991.03

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Solution

The third proportional to 10,695.80 and 24,991.03 is: 58,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.80 : 24,991.03 = 24,991.03 : x
  2. Step 2: Convert to fraction form
    10,695.80/24,991.03 = 24,991.03/x
  3. Step 3: Cross multiply
    10,695.80x = 24,991.03 × 24,991.03
  4. Step 4: Simplify right side
    10,695.80x = 624,551,642.94
  5. Step 5: Solve for x
    x = 624,551,642.94/10,695.80
  6. Step 6: Final answer
    x = 58,392.25

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.