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Finding the Third Proportional to 7,922.81 and 11,077.03

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Solution

The third proportional to 7,922.81 and 11,077.03 is: 15,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.81 : 11,077.03 = 11,077.03 : x
  2. Step 2: Convert to fraction form
    7,922.81/11,077.03 = 11,077.03/x
  3. Step 3: Cross multiply
    7,922.81x = 11,077.03 × 11,077.03
  4. Step 4: Simplify right side
    7,922.81x = 122,700,621.31
  5. Step 5: Solve for x
    x = 122,700,621.31/7,922.81
  6. Step 6: Final answer
    x = 15,487.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.