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Finding the Third Proportional to 35,721 and 56,505.09

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Solution

The third proportional to 35,721 and 56,505.09 is: 89,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,721 : 56,505.09 = 56,505.09 : x
  2. Step 2: Convert to fraction form
    35,721/56,505.09 = 56,505.09/x
  3. Step 3: Cross multiply
    35,721x = 56,505.09 × 56,505.09
  4. Step 4: Simplify right side
    35,721x = 3,192,825,619.70
  5. Step 5: Solve for x
    x = 3,192,825,619.70/35,721
  6. Step 6: Final answer
    x = 89,382.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.