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Finding the Third Proportional to 25,746 and 40,797

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Solution

The third proportional to 25,746 and 40,797 is: 64,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,746 : 40,797 = 40,797 : x
  2. Step 2: Convert to fraction form
    25,746/40,797 = 40,797/x
  3. Step 3: Cross multiply
    25,746x = 40,797 × 40,797
  4. Step 4: Simplify right side
    25,746x = 1,664,395,209
  5. Step 5: Solve for x
    x = 1,664,395,209/25,746
  6. Step 6: Final answer
    x = 64,646.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.