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Finding the Third Proportional to 25,905 and 36,797

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Solution

The third proportional to 25,905 and 36,797 is: 52,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,905 : 36,797 = 36,797 : x
  2. Step 2: Convert to fraction form
    25,905/36,797 = 36,797/x
  3. Step 3: Cross multiply
    25,905x = 36,797 × 36,797
  4. Step 4: Simplify right side
    25,905x = 1,354,019,209
  5. Step 5: Solve for x
    x = 1,354,019,209/25,905
  6. Step 6: Final answer
    x = 52,268.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.