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Finding the Third Proportional to 33,487 and 45,480

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Solution

The third proportional to 33,487 and 45,480 is: 61,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,487 : 45,480 = 45,480 : x
  2. Step 2: Convert to fraction form
    33,487/45,480 = 45,480/x
  3. Step 3: Cross multiply
    33,487x = 45,480 × 45,480
  4. Step 4: Simplify right side
    33,487x = 2,068,430,400
  5. Step 5: Solve for x
    x = 2,068,430,400/33,487
  6. Step 6: Final answer
    x = 61,768.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.