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Finding the Third Proportional to 25,223 and 40,641

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Solution

The third proportional to 25,223 and 40,641 is: 65,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223 : 40,641 = 40,641 : x
  2. Step 2: Convert to fraction form
    25,223/40,641 = 40,641/x
  3. Step 3: Cross multiply
    25,223x = 40,641 × 40,641
  4. Step 4: Simplify right side
    25,223x = 1,651,690,881
  5. Step 5: Solve for x
    x = 1,651,690,881/25,223
  6. Step 6: Final answer
    x = 65,483.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.