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Finding the Third Proportional to 25,664 and 40,998

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Solution

The third proportional to 25,664 and 40,998 is: 65,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,664 : 40,998 = 40,998 : x
  2. Step 2: Convert to fraction form
    25,664/40,998 = 40,998/x
  3. Step 3: Cross multiply
    25,664x = 40,998 × 40,998
  4. Step 4: Simplify right side
    25,664x = 1,680,836,004
  5. Step 5: Solve for x
    x = 1,680,836,004/25,664
  6. Step 6: Final answer
    x = 65,493.92

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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.