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Finding the Third Proportional to 6,695.50 and 13,917.50

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Solution

The third proportional to 6,695.50 and 13,917.50 is: 28,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.50 : 13,917.50 = 13,917.50 : x
  2. Step 2: Convert to fraction form
    6,695.50/13,917.50 = 13,917.50/x
  3. Step 3: Cross multiply
    6,695.50x = 13,917.50 × 13,917.50
  4. Step 4: Simplify right side
    6,695.50x = 193,696,806.25
  5. Step 5: Solve for x
    x = 193,696,806.25/6,695.50
  6. Step 6: Final answer
    x = 28,929.40

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.