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Finding the Third Proportional to 12,015.56 and 25,807.22

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Solution

The third proportional to 12,015.56 and 25,807.22 is: 55,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.56 : 25,807.22 = 25,807.22 : x
  2. Step 2: Convert to fraction form
    12,015.56/25,807.22 = 25,807.22/x
  3. Step 3: Cross multiply
    12,015.56x = 25,807.22 × 25,807.22
  4. Step 4: Simplify right side
    12,015.56x = 666,012,539.61
  5. Step 5: Solve for x
    x = 666,012,539.61/12,015.56
  6. Step 6: Final answer
    x = 55,429.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.