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Finding the Third Proportional to 38,970 and 55,731

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Solution

The third proportional to 38,970 and 55,731 is: 79,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970 : 55,731 = 55,731 : x
  2. Step 2: Convert to fraction form
    38,970/55,731 = 55,731/x
  3. Step 3: Cross multiply
    38,970x = 55,731 × 55,731
  4. Step 4: Simplify right side
    38,970x = 3,105,944,361
  5. Step 5: Solve for x
    x = 3,105,944,361/38,970
  6. Step 6: Final answer
    x = 79,700.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.