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Finding the Third Proportional to 25,834 and 39,723

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Solution

The third proportional to 25,834 and 39,723 is: 61,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,834 : 39,723 = 39,723 : x
  2. Step 2: Convert to fraction form
    25,834/39,723 = 39,723/x
  3. Step 3: Cross multiply
    25,834x = 39,723 × 39,723
  4. Step 4: Simplify right side
    25,834x = 1,577,916,729
  5. Step 5: Solve for x
    x = 1,577,916,729/25,834
  6. Step 6: Final answer
    x = 61,079.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.