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Finding the Third Proportional to 33,359.34 and 51,952.64

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Solution

The third proportional to 33,359.34 and 51,952.64 is: 80,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,359.34 : 51,952.64 = 51,952.64 : x
  2. Step 2: Convert to fraction form
    33,359.34/51,952.64 = 51,952.64/x
  3. Step 3: Cross multiply
    33,359.34x = 51,952.64 × 51,952.64
  4. Step 4: Simplify right side
    33,359.34x = 2,699,076,867.91
  5. Step 5: Solve for x
    x = 2,699,076,867.91/33,359.34
  6. Step 6: Final answer
    x = 80,909.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.