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Finding the Third Proportional to 25,278 and 39,651

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Solution

The third proportional to 25,278 and 39,651 is: 62,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278 : 39,651 = 39,651 : x
  2. Step 2: Convert to fraction form
    25,278/39,651 = 39,651/x
  3. Step 3: Cross multiply
    25,278x = 39,651 × 39,651
  4. Step 4: Simplify right side
    25,278x = 1,572,201,801
  5. Step 5: Solve for x
    x = 1,572,201,801/25,278
  6. Step 6: Final answer
    x = 62,196.45

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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.