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Finding the Third Proportional to 25,886 and 39,309

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Solution

The third proportional to 25,886 and 39,309 is: 59,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886 : 39,309 = 39,309 : x
  2. Step 2: Convert to fraction form
    25,886/39,309 = 39,309/x
  3. Step 3: Cross multiply
    25,886x = 39,309 × 39,309
  4. Step 4: Simplify right side
    25,886x = 1,545,197,481
  5. Step 5: Solve for x
    x = 1,545,197,481/25,886
  6. Step 6: Final answer
    x = 59,692.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.