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Finding the Third Proportional to 37,702 and 55,407

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Solution

The third proportional to 37,702 and 55,407 is: 81,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,702 : 55,407 = 55,407 : x
  2. Step 2: Convert to fraction form
    37,702/55,407 = 55,407/x
  3. Step 3: Cross multiply
    37,702x = 55,407 × 55,407
  4. Step 4: Simplify right side
    37,702x = 3,069,935,649
  5. Step 5: Solve for x
    x = 3,069,935,649/37,702
  6. Step 6: Final answer
    x = 81,426.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.