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Finding the Third Proportional to 15,466 and 33,720

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Solution

The third proportional to 15,466 and 33,720 is: 73,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,466 : 33,720 = 33,720 : x
  2. Step 2: Convert to fraction form
    15,466/33,720 = 33,720/x
  3. Step 3: Cross multiply
    15,466x = 33,720 × 33,720
  4. Step 4: Simplify right side
    15,466x = 1,137,038,400
  5. Step 5: Solve for x
    x = 1,137,038,400/15,466
  6. Step 6: Final answer
    x = 73,518.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.