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Finding the Third Proportional to 5,157.84 and 7,972.59

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Solution

The third proportional to 5,157.84 and 7,972.59 is: 12,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.84 : 7,972.59 = 7,972.59 : x
  2. Step 2: Convert to fraction form
    5,157.84/7,972.59 = 7,972.59/x
  3. Step 3: Cross multiply
    5,157.84x = 7,972.59 × 7,972.59
  4. Step 4: Simplify right side
    5,157.84x = 63,562,251.10
  5. Step 5: Solve for x
    x = 63,562,251.10/5,157.84
  6. Step 6: Final answer
    x = 12,323.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.