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Finding the Third Proportional to 6,926.44 and 14,718.19

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Solution

The third proportional to 6,926.44 and 14,718.19 is: 31,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.44 : 14,718.19 = 14,718.19 : x
  2. Step 2: Convert to fraction form
    6,926.44/14,718.19 = 14,718.19/x
  3. Step 3: Cross multiply
    6,926.44x = 14,718.19 × 14,718.19
  4. Step 4: Simplify right side
    6,926.44x = 216,625,043.29
  5. Step 5: Solve for x
    x = 216,625,043.29/6,926.44
  6. Step 6: Final answer
    x = 31,275.10

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.