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Finding the Third Proportional to 25,858 and 40,035

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Solution

The third proportional to 25,858 and 40,035 is: 61,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858 : 40,035 = 40,035 : x
  2. Step 2: Convert to fraction form
    25,858/40,035 = 40,035/x
  3. Step 3: Cross multiply
    25,858x = 40,035 × 40,035
  4. Step 4: Simplify right side
    25,858x = 1,602,801,225
  5. Step 5: Solve for x
    x = 1,602,801,225/25,858
  6. Step 6: Final answer
    x = 61,984.73

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Why These Related Problems?

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