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Finding the Third Proportional to 15,057 and 22,563

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Solution

The third proportional to 15,057 and 22,563 is: 33,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,057 : 22,563 = 22,563 : x
  2. Step 2: Convert to fraction form
    15,057/22,563 = 22,563/x
  3. Step 3: Cross multiply
    15,057x = 22,563 × 22,563
  4. Step 4: Simplify right side
    15,057x = 509,088,969
  5. Step 5: Solve for x
    x = 509,088,969/15,057
  6. Step 6: Final answer
    x = 33,810.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.