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Finding the Third Proportional to 25,823.75 and 39,903.38

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Solution

The third proportional to 25,823.75 and 39,903.38 is: 61,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.75 : 39,903.38 = 39,903.38 : x
  2. Step 2: Convert to fraction form
    25,823.75/39,903.38 = 39,903.38/x
  3. Step 3: Cross multiply
    25,823.75x = 39,903.38 × 39,903.38
  4. Step 4: Simplify right side
    25,823.75x = 1,592,279,336.39
  5. Step 5: Solve for x
    x = 1,592,279,336.39/25,823.75
  6. Step 6: Final answer
    x = 61,659.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.