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Finding the Third Proportional to 12,340.41 and 19,616.06

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Solution

The third proportional to 12,340.41 and 19,616.06 is: 31,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.41 : 19,616.06 = 19,616.06 : x
  2. Step 2: Convert to fraction form
    12,340.41/19,616.06 = 19,616.06/x
  3. Step 3: Cross multiply
    12,340.41x = 19,616.06 × 19,616.06
  4. Step 4: Simplify right side
    12,340.41x = 384,789,908.00
  5. Step 5: Solve for x
    x = 384,789,908.00/12,340.41
  6. Step 6: Final answer
    x = 31,181.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.