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Finding the Third Proportional to 6,158.78 and 13,509.81

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Solution

The third proportional to 6,158.78 and 13,509.81 is: 29,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.78 : 13,509.81 = 13,509.81 : x
  2. Step 2: Convert to fraction form
    6,158.78/13,509.81 = 13,509.81/x
  3. Step 3: Cross multiply
    6,158.78x = 13,509.81 × 13,509.81
  4. Step 4: Simplify right side
    6,158.78x = 182,514,928.24
  5. Step 5: Solve for x
    x = 182,514,928.24/6,158.78
  6. Step 6: Final answer
    x = 29,634.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.