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Finding the Third Proportional to 15,342 and 33,258

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Solution

The third proportional to 15,342 and 33,258 is: 72,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342 : 33,258 = 33,258 : x
  2. Step 2: Convert to fraction form
    15,342/33,258 = 33,258/x
  3. Step 3: Cross multiply
    15,342x = 33,258 × 33,258
  4. Step 4: Simplify right side
    15,342x = 1,106,094,564
  5. Step 5: Solve for x
    x = 1,106,094,564/15,342
  6. Step 6: Final answer
    x = 72,095.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.