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Finding the Third Proportional to 7,106.06 and 10,656.56

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Solution

The third proportional to 7,106.06 and 10,656.56 is: 15,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.06 : 10,656.56 = 10,656.56 : x
  2. Step 2: Convert to fraction form
    7,106.06/10,656.56 = 10,656.56/x
  3. Step 3: Cross multiply
    7,106.06x = 10,656.56 × 10,656.56
  4. Step 4: Simplify right side
    7,106.06x = 113,562,324.32
  5. Step 5: Solve for x
    x = 113,562,324.32/7,106.06
  6. Step 6: Final answer
    x = 15,981.05

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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.