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Finding the Third Proportional to 38,690.16 and 84,761.44

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Solution

The third proportional to 38,690.16 and 84,761.44 is: 185,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,690.16 : 84,761.44 = 84,761.44 : x
  2. Step 2: Convert to fraction form
    38,690.16/84,761.44 = 84,761.44/x
  3. Step 3: Cross multiply
    38,690.16x = 84,761.44 × 84,761.44
  4. Step 4: Simplify right side
    38,690.16x = 7,184,501,287.07
  5. Step 5: Solve for x
    x = 7,184,501,287.07/38,690.16
  6. Step 6: Final answer
    x = 185,693.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.