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Finding the Third Proportional to 5,056.88 and 10,690.31

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Solution

The third proportional to 5,056.88 and 10,690.31 is: 22,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.88 : 10,690.31 = 10,690.31 : x
  2. Step 2: Convert to fraction form
    5,056.88/10,690.31 = 10,690.31/x
  3. Step 3: Cross multiply
    5,056.88x = 10,690.31 × 10,690.31
  4. Step 4: Simplify right side
    5,056.88x = 114,282,781.35
  5. Step 5: Solve for x
    x = 114,282,781.35/5,056.88
  6. Step 6: Final answer
    x = 22,599.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.