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Finding the Third Proportional to 15,284 and 33,484

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Solution

The third proportional to 15,284 and 33,484 is: 73,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284 : 33,484 = 33,484 : x
  2. Step 2: Convert to fraction form
    15,284/33,484 = 33,484/x
  3. Step 3: Cross multiply
    15,284x = 33,484 × 33,484
  4. Step 4: Simplify right side
    15,284x = 1,121,178,256
  5. Step 5: Solve for x
    x = 1,121,178,256/15,284
  6. Step 6: Final answer
    x = 73,356.34

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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.