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Finding the Third Proportional to 25,211 and 34,113

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Solution

The third proportional to 25,211 and 34,113 is: 46,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211 : 34,113 = 34,113 : x
  2. Step 2: Convert to fraction form
    25,211/34,113 = 34,113/x
  3. Step 3: Cross multiply
    25,211x = 34,113 × 34,113
  4. Step 4: Simplify right side
    25,211x = 1,163,696,769
  5. Step 5: Solve for x
    x = 1,163,696,769/25,211
  6. Step 6: Final answer
    x = 46,158.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.