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Finding the Third Proportional to 25,844 and 39,732

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Solution

The third proportional to 25,844 and 39,732 is: 61,083.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,844 : 39,732 = 39,732 : x
  2. Step 2: Convert to fraction form
    25,844/39,732 = 39,732/x
  3. Step 3: Cross multiply
    25,844x = 39,732 × 39,732
  4. Step 4: Simplify right side
    25,844x = 1,578,631,824
  5. Step 5: Solve for x
    x = 1,578,631,824/25,844
  6. Step 6: Final answer
    x = 61,083.11

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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.