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Finding the Third Proportional to 15,474 and 22,563

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Solution

The third proportional to 15,474 and 22,563 is: 32,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474 : 22,563 = 22,563 : x
  2. Step 2: Convert to fraction form
    15,474/22,563 = 22,563/x
  3. Step 3: Cross multiply
    15,474x = 22,563 × 22,563
  4. Step 4: Simplify right side
    15,474x = 509,088,969
  5. Step 5: Solve for x
    x = 509,088,969/15,474
  6. Step 6: Final answer
    x = 32,899.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.