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Finding the Third Proportional to 6,701.06 and 10,051.59

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Solution

The third proportional to 6,701.06 and 10,051.59 is: 15,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.06 : 10,051.59 = 10,051.59 : x
  2. Step 2: Convert to fraction form
    6,701.06/10,051.59 = 10,051.59/x
  3. Step 3: Cross multiply
    6,701.06x = 10,051.59 × 10,051.59
  4. Step 4: Simplify right side
    6,701.06x = 101,034,536.92
  5. Step 5: Solve for x
    x = 101,034,536.92/6,701.06
  6. Step 6: Final answer
    x = 15,077.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.