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Finding the Third Proportional to 37,403.63 and 81,961.13

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Solution

The third proportional to 37,403.63 and 81,961.13 is: 179,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,403.63 : 81,961.13 = 81,961.13 : x
  2. Step 2: Convert to fraction form
    37,403.63/81,961.13 = 81,961.13/x
  3. Step 3: Cross multiply
    37,403.63x = 81,961.13 × 81,961.13
  4. Step 4: Simplify right side
    37,403.63x = 6,717,626,011.27
  5. Step 5: Solve for x
    x = 6,717,626,011.27/37,403.63
  6. Step 6: Final answer
    x = 179,598.26

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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.