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Finding the Third Proportional to 25,984 and 40,497

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Solution

The third proportional to 25,984 and 40,497 is: 63,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,984 : 40,497 = 40,497 : x
  2. Step 2: Convert to fraction form
    25,984/40,497 = 40,497/x
  3. Step 3: Cross multiply
    25,984x = 40,497 × 40,497
  4. Step 4: Simplify right side
    25,984x = 1,640,007,009
  5. Step 5: Solve for x
    x = 1,640,007,009/25,984
  6. Step 6: Final answer
    x = 63,116.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.