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Finding the Third Proportional to 25,897 and 41,312

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Solution

The third proportional to 25,897 and 41,312 is: 65,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897 : 41,312 = 41,312 : x
  2. Step 2: Convert to fraction form
    25,897/41,312 = 41,312/x
  3. Step 3: Cross multiply
    25,897x = 41,312 × 41,312
  4. Step 4: Simplify right side
    25,897x = 1,706,681,344
  5. Step 5: Solve for x
    x = 1,706,681,344/25,897
  6. Step 6: Final answer
    x = 65,902.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.