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Finding the Third Proportional to 25,544 and 42,213

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Solution

The third proportional to 25,544 and 42,213 is: 69,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,544 : 42,213 = 42,213 : x
  2. Step 2: Convert to fraction form
    25,544/42,213 = 42,213/x
  3. Step 3: Cross multiply
    25,544x = 42,213 × 42,213
  4. Step 4: Simplify right side
    25,544x = 1,781,937,369
  5. Step 5: Solve for x
    x = 1,781,937,369/25,544
  6. Step 6: Final answer
    x = 69,759.53

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.