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Finding the Third Proportional to 25,927 and 56,897

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Solution

The third proportional to 25,927 and 56,897 is: 124,860.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,927 : 56,897 = 56,897 : x
  2. Step 2: Convert to fraction form
    25,927/56,897 = 56,897/x
  3. Step 3: Cross multiply
    25,927x = 56,897 × 56,897
  4. Step 4: Simplify right side
    25,927x = 3,237,268,609
  5. Step 5: Solve for x
    x = 3,237,268,609/25,927
  6. Step 6: Final answer
    x = 124,860.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.