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Finding the Third Proportional to 25,270 and 39,641

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Solution

The third proportional to 25,270 and 39,641 is: 62,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,270 : 39,641 = 39,641 : x
  2. Step 2: Convert to fraction form
    25,270/39,641 = 39,641/x
  3. Step 3: Cross multiply
    25,270x = 39,641 × 39,641
  4. Step 4: Simplify right side
    25,270x = 1,571,408,881
  5. Step 5: Solve for x
    x = 1,571,408,881/25,270
  6. Step 6: Final answer
    x = 62,184.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.