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Finding the Third Proportional to 6,901.31 and 10,706.06

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Solution

The third proportional to 6,901.31 and 10,706.06 is: 16,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.31 : 10,706.06 = 10,706.06 : x
  2. Step 2: Convert to fraction form
    6,901.31/10,706.06 = 10,706.06/x
  3. Step 3: Cross multiply
    6,901.31x = 10,706.06 × 10,706.06
  4. Step 4: Simplify right side
    6,901.31x = 114,619,774.25
  5. Step 5: Solve for x
    x = 114,619,774.25/6,901.31
  6. Step 6: Final answer
    x = 16,608.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.