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Finding the Third Proportional to 15,410.25 and 22,021.88

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Solution

The third proportional to 15,410.25 and 22,021.88 is: 31,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410.25 : 22,021.88 = 22,021.88 : x
  2. Step 2: Convert to fraction form
    15,410.25/22,021.88 = 22,021.88/x
  3. Step 3: Cross multiply
    15,410.25x = 22,021.88 × 22,021.88
  4. Step 4: Simplify right side
    15,410.25x = 484,962,978.52
  5. Step 5: Solve for x
    x = 484,962,978.52/15,410.25
  6. Step 6: Final answer
    x = 31,470.16

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.