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Finding the Third Proportional to 5,808.75 and 12,728.63

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Solution

The third proportional to 5,808.75 and 12,728.63 is: 27,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.75 : 12,728.63 = 12,728.63 : x
  2. Step 2: Convert to fraction form
    5,808.75/12,728.63 = 12,728.63/x
  3. Step 3: Cross multiply
    5,808.75x = 12,728.63 × 12,728.63
  4. Step 4: Simplify right side
    5,808.75x = 162,017,894.39
  5. Step 5: Solve for x
    x = 162,017,894.39/5,808.75
  6. Step 6: Final answer
    x = 27,892.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.