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Finding the Third Proportional to 6,178.75 and 13,587.75

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Solution

The third proportional to 6,178.75 and 13,587.75 is: 29,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.75 : 13,587.75 = 13,587.75 : x
  2. Step 2: Convert to fraction form
    6,178.75/13,587.75 = 13,587.75/x
  3. Step 3: Cross multiply
    6,178.75x = 13,587.75 × 13,587.75
  4. Step 4: Simplify right side
    6,178.75x = 184,626,950.06
  5. Step 5: Solve for x
    x = 184,626,950.06/6,178.75
  6. Step 6: Final answer
    x = 29,880.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.