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Finding the Third Proportional to 38,731 and 54,541

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Solution

The third proportional to 38,731 and 54,541 is: 76,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,731 : 54,541 = 54,541 : x
  2. Step 2: Convert to fraction form
    38,731/54,541 = 54,541/x
  3. Step 3: Cross multiply
    38,731x = 54,541 × 54,541
  4. Step 4: Simplify right side
    38,731x = 2,974,720,681
  5. Step 5: Solve for x
    x = 2,974,720,681/38,731
  6. Step 6: Final answer
    x = 76,804.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.