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Finding the Third Proportional to 15,298 and 33,511

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Solution

The third proportional to 15,298 and 33,511 is: 73,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298 : 33,511 = 33,511 : x
  2. Step 2: Convert to fraction form
    15,298/33,511 = 33,511/x
  3. Step 3: Cross multiply
    15,298x = 33,511 × 33,511
  4. Step 4: Simplify right side
    15,298x = 1,122,987,121
  5. Step 5: Solve for x
    x = 1,122,987,121/15,298
  6. Step 6: Final answer
    x = 73,407.45

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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.