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Finding the Third Proportional to 25,886 and 39,310

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Solution

The third proportional to 25,886 and 39,310 is: 59,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886 : 39,310 = 39,310 : x
  2. Step 2: Convert to fraction form
    25,886/39,310 = 39,310/x
  3. Step 3: Cross multiply
    25,886x = 39,310 × 39,310
  4. Step 4: Simplify right side
    25,886x = 1,545,276,100
  5. Step 5: Solve for x
    x = 1,545,276,100/25,886
  6. Step 6: Final answer
    x = 59,695.44

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