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Finding the Third Proportional to 11,162.25 and 15,305.63

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Solution

The third proportional to 11,162.25 and 15,305.63 is: 20,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.25 : 15,305.63 = 15,305.63 : x
  2. Step 2: Convert to fraction form
    11,162.25/15,305.63 = 15,305.63/x
  3. Step 3: Cross multiply
    11,162.25x = 15,305.63 × 15,305.63
  4. Step 4: Simplify right side
    11,162.25x = 234,262,156.64
  5. Step 5: Solve for x
    x = 234,262,156.64/11,162.25
  6. Step 6: Final answer
    x = 20,987.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.