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Finding the Third Proportional to 6,696.38 and 12,784.88

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Solution

The third proportional to 6,696.38 and 12,784.88 is: 24,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.38 : 12,784.88 = 12,784.88 : x
  2. Step 2: Convert to fraction form
    6,696.38/12,784.88 = 12,784.88/x
  3. Step 3: Cross multiply
    6,696.38x = 12,784.88 × 12,784.88
  4. Step 4: Simplify right side
    6,696.38x = 163,453,028.77
  5. Step 5: Solve for x
    x = 163,453,028.77/6,696.38
  6. Step 6: Final answer
    x = 24,409.18

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.