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Finding the Third Proportional to 25,110 and 36,897

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Solution

The third proportional to 25,110 and 36,897 is: 54,216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,110 : 36,897 = 36,897 : x
  2. Step 2: Convert to fraction form
    25,110/36,897 = 36,897/x
  3. Step 3: Cross multiply
    25,110x = 36,897 × 36,897
  4. Step 4: Simplify right side
    25,110x = 1,361,388,609
  5. Step 5: Solve for x
    x = 1,361,388,609/25,110
  6. Step 6: Final answer
    x = 54,216.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.