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Finding the Third Proportional to 7,434 and 11,111.63

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Solution

The third proportional to 7,434 and 11,111.63 is: 16,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434 : 11,111.63 = 11,111.63 : x
  2. Step 2: Convert to fraction form
    7,434/11,111.63 = 11,111.63/x
  3. Step 3: Cross multiply
    7,434x = 11,111.63 × 11,111.63
  4. Step 4: Simplify right side
    7,434x = 123,468,210.14
  5. Step 5: Solve for x
    x = 123,468,210.14/7,434
  6. Step 6: Final answer
    x = 16,608.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.