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Finding the Third Proportional to 37,370 and 55,731

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Solution

The third proportional to 37,370 and 55,731 is: 83,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,370 : 55,731 = 55,731 : x
  2. Step 2: Convert to fraction form
    37,370/55,731 = 55,731/x
  3. Step 3: Cross multiply
    37,370x = 55,731 × 55,731
  4. Step 4: Simplify right side
    37,370x = 3,105,944,361
  5. Step 5: Solve for x
    x = 3,105,944,361/37,370
  6. Step 6: Final answer
    x = 83,113.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.