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Finding the Third Proportional to 35,572 and 53,456

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Solution

The third proportional to 35,572 and 53,456 is: 80,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,572 : 53,456 = 53,456 : x
  2. Step 2: Convert to fraction form
    35,572/53,456 = 53,456/x
  3. Step 3: Cross multiply
    35,572x = 53,456 × 53,456
  4. Step 4: Simplify right side
    35,572x = 2,857,543,936
  5. Step 5: Solve for x
    x = 2,857,543,936/35,572
  6. Step 6: Final answer
    x = 80,331.27

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