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Finding the Third Proportional to 6,746.81 and 13,929.31

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Solution

The third proportional to 6,746.81 and 13,929.31 is: 28,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.81 : 13,929.31 = 13,929.31 : x
  2. Step 2: Convert to fraction form
    6,746.81/13,929.31 = 13,929.31/x
  3. Step 3: Cross multiply
    6,746.81x = 13,929.31 × 13,929.31
  4. Step 4: Simplify right side
    6,746.81x = 194,025,692.31
  5. Step 5: Solve for x
    x = 194,025,692.31/6,746.81
  6. Step 6: Final answer
    x = 28,758.14

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.