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Finding the Third Proportional to 5,065.88 and 10,877.63

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Solution

The third proportional to 5,065.88 and 10,877.63 is: 23,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.88 : 10,877.63 = 10,877.63 : x
  2. Step 2: Convert to fraction form
    5,065.88/10,877.63 = 10,877.63/x
  3. Step 3: Cross multiply
    5,065.88x = 10,877.63 × 10,877.63
  4. Step 4: Simplify right side
    5,065.88x = 118,322,725.64
  5. Step 5: Solve for x
    x = 118,322,725.64/5,065.88
  6. Step 6: Final answer
    x = 23,356.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.