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Finding the Third Proportional to 25,824 and 39,875

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Solution

The third proportional to 25,824 and 39,875 is: 61,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824 : 39,875 = 39,875 : x
  2. Step 2: Convert to fraction form
    25,824/39,875 = 39,875/x
  3. Step 3: Cross multiply
    25,824x = 39,875 × 39,875
  4. Step 4: Simplify right side
    25,824x = 1,590,015,625
  5. Step 5: Solve for x
    x = 1,590,015,625/25,824
  6. Step 6: Final answer
    x = 61,571.24

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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.