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Finding the Third Proportional to 15,022 and 32,628

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Solution

The third proportional to 15,022 and 32,628 is: 70,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022 : 32,628 = 32,628 : x
  2. Step 2: Convert to fraction form
    15,022/32,628 = 32,628/x
  3. Step 3: Cross multiply
    15,022x = 32,628 × 32,628
  4. Step 4: Simplify right side
    15,022x = 1,064,586,384
  5. Step 5: Solve for x
    x = 1,064,586,384/15,022
  6. Step 6: Final answer
    x = 70,868.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.