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Finding the Third Proportional to 17,769 and 38,670.75

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Solution

The third proportional to 17,769 and 38,670.75 is: 84,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769 : 38,670.75 = 38,670.75 : x
  2. Step 2: Convert to fraction form
    17,769/38,670.75 = 38,670.75/x
  3. Step 3: Cross multiply
    17,769x = 38,670.75 × 38,670.75
  4. Step 4: Simplify right side
    17,769x = 1,495,426,905.56
  5. Step 5: Solve for x
    x = 1,495,426,905.56/17,769
  6. Step 6: Final answer
    x = 84,159.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.