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Finding the Third Proportional to 25,364 and 39,788

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Solution

The third proportional to 25,364 and 39,788 is: 62,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364 : 39,788 = 39,788 : x
  2. Step 2: Convert to fraction form
    25,364/39,788 = 39,788/x
  3. Step 3: Cross multiply
    25,364x = 39,788 × 39,788
  4. Step 4: Simplify right side
    25,364x = 1,583,084,944
  5. Step 5: Solve for x
    x = 1,583,084,944/25,364
  6. Step 6: Final answer
    x = 62,414.64

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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.