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Finding the Third Proportional to 15,226 and 23,563

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Solution

The third proportional to 15,226 and 23,563 is: 36,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226 : 23,563 = 23,563 : x
  2. Step 2: Convert to fraction form
    15,226/23,563 = 23,563/x
  3. Step 3: Cross multiply
    15,226x = 23,563 × 23,563
  4. Step 4: Simplify right side
    15,226x = 555,214,969
  5. Step 5: Solve for x
    x = 555,214,969/15,226
  6. Step 6: Final answer
    x = 36,464.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.