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Finding the Third Proportional to 10,216.13 and 25,439.06

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Solution

The third proportional to 10,216.13 and 25,439.06 is: 63,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.13 : 25,439.06 = 25,439.06 : x
  2. Step 2: Convert to fraction form
    10,216.13/25,439.06 = 25,439.06/x
  3. Step 3: Cross multiply
    10,216.13x = 25,439.06 × 25,439.06
  4. Step 4: Simplify right side
    10,216.13x = 647,145,900.88
  5. Step 5: Solve for x
    x = 647,145,900.88/10,216.13
  6. Step 6: Final answer
    x = 63,345.53

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.