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Finding the Third Proportional to 25,587 and 35,829

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Solution

The third proportional to 25,587 and 35,829 is: 50,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,587 : 35,829 = 35,829 : x
  2. Step 2: Convert to fraction form
    25,587/35,829 = 35,829/x
  3. Step 3: Cross multiply
    25,587x = 35,829 × 35,829
  4. Step 4: Simplify right side
    25,587x = 1,283,717,241
  5. Step 5: Solve for x
    x = 1,283,717,241/25,587
  6. Step 6: Final answer
    x = 50,170.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.