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Finding the Third Proportional to 15,984 and 25,022

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Solution

The third proportional to 15,984 and 25,022 is: 39,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984 : 25,022 = 25,022 : x
  2. Step 2: Convert to fraction form
    15,984/25,022 = 25,022/x
  3. Step 3: Cross multiply
    15,984x = 25,022 × 25,022
  4. Step 4: Simplify right side
    15,984x = 626,100,484
  5. Step 5: Solve for x
    x = 626,100,484/15,984
  6. Step 6: Final answer
    x = 39,170.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.