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Finding the Third Proportional to 15,294 and 33,502

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Solution

The third proportional to 15,294 and 33,502 is: 73,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,294 : 33,502 = 33,502 : x
  2. Step 2: Convert to fraction form
    15,294/33,502 = 33,502/x
  3. Step 3: Cross multiply
    15,294x = 33,502 × 33,502
  4. Step 4: Simplify right side
    15,294x = 1,122,384,004
  5. Step 5: Solve for x
    x = 1,122,384,004/15,294
  6. Step 6: Final answer
    x = 73,387.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.