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Finding the Third Proportional to 25,600 and 39,494

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Solution

The third proportional to 25,600 and 39,494 is: 60,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600 : 39,494 = 39,494 : x
  2. Step 2: Convert to fraction form
    25,600/39,494 = 39,494/x
  3. Step 3: Cross multiply
    25,600x = 39,494 × 39,494
  4. Step 4: Simplify right side
    25,600x = 1,559,776,036
  5. Step 5: Solve for x
    x = 1,559,776,036/25,600
  6. Step 6: Final answer
    x = 60,928.75

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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.