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Finding the Third Proportional to 15,420 and 32,456

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Solution

The third proportional to 15,420 and 32,456 is: 68,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420 : 32,456 = 32,456 : x
  2. Step 2: Convert to fraction form
    15,420/32,456 = 32,456/x
  3. Step 3: Cross multiply
    15,420x = 32,456 × 32,456
  4. Step 4: Simplify right side
    15,420x = 1,053,391,936
  5. Step 5: Solve for x
    x = 1,053,391,936/15,420
  6. Step 6: Final answer
    x = 68,313.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.