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Finding the Third Proportional to 25,709.25 and 38,837.63

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Solution

The third proportional to 25,709.25 and 38,837.63 is: 58,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.25 : 38,837.63 = 38,837.63 : x
  2. Step 2: Convert to fraction form
    25,709.25/38,837.63 = 38,837.63/x
  3. Step 3: Cross multiply
    25,709.25x = 38,837.63 × 38,837.63
  4. Step 4: Simplify right side
    25,709.25x = 1,508,361,115.64
  5. Step 5: Solve for x
    x = 1,508,361,115.64/25,709.25
  6. Step 6: Final answer
    x = 58,669.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.