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Finding the Third Proportional to 15,400 and 33,688

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Solution

The third proportional to 15,400 and 33,688 is: 73,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400 : 33,688 = 33,688 : x
  2. Step 2: Convert to fraction form
    15,400/33,688 = 33,688/x
  3. Step 3: Cross multiply
    15,400x = 33,688 × 33,688
  4. Step 4: Simplify right side
    15,400x = 1,134,881,344
  5. Step 5: Solve for x
    x = 1,134,881,344/15,400
  6. Step 6: Final answer
    x = 73,693.59

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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.