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Finding the Third Proportional to 25,942 and 40,534

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Solution

The third proportional to 25,942 and 40,534 is: 63,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,942 : 40,534 = 40,534 : x
  2. Step 2: Convert to fraction form
    25,942/40,534 = 40,534/x
  3. Step 3: Cross multiply
    25,942x = 40,534 × 40,534
  4. Step 4: Simplify right side
    25,942x = 1,643,005,156
  5. Step 5: Solve for x
    x = 1,643,005,156/25,942
  6. Step 6: Final answer
    x = 63,333.79

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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.