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Finding the Third Proportional to 6,868.83 and 14,967.91

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Solution

The third proportional to 6,868.83 and 14,967.91 is: 32,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.83 : 14,967.91 = 14,967.91 : x
  2. Step 2: Convert to fraction form
    6,868.83/14,967.91 = 14,967.91/x
  3. Step 3: Cross multiply
    6,868.83x = 14,967.91 × 14,967.91
  4. Step 4: Simplify right side
    6,868.83x = 224,038,451.38
  5. Step 5: Solve for x
    x = 224,038,451.38/6,868.83
  6. Step 6: Final answer
    x = 32,616.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.