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Finding the Third Proportional to 7,135.28 and 10,141.77

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Solution

The third proportional to 7,135.28 and 10,141.77 is: 14,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.28 : 10,141.77 = 10,141.77 : x
  2. Step 2: Convert to fraction form
    7,135.28/10,141.77 = 10,141.77/x
  3. Step 3: Cross multiply
    7,135.28x = 10,141.77 × 10,141.77
  4. Step 4: Simplify right side
    7,135.28x = 102,855,489.22
  5. Step 5: Solve for x
    x = 102,855,489.22/7,135.28
  6. Step 6: Final answer
    x = 14,415.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.