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Finding the Third Proportional to 25,277.06 and 38,682.56

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Solution

The third proportional to 25,277.06 and 38,682.56 is: 59,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,277.06 : 38,682.56 = 38,682.56 : x
  2. Step 2: Convert to fraction form
    25,277.06/38,682.56 = 38,682.56/x
  3. Step 3: Cross multiply
    25,277.06x = 38,682.56 × 38,682.56
  4. Step 4: Simplify right side
    25,277.06x = 1,496,340,641.57
  5. Step 5: Solve for x
    x = 1,496,340,641.57/25,277.06
  6. Step 6: Final answer
    x = 59,197.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.