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Finding the Third Proportional to 38,157 and 59,346

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Solution

The third proportional to 38,157 and 59,346 is: 92,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,157 : 59,346 = 59,346 : x
  2. Step 2: Convert to fraction form
    38,157/59,346 = 59,346/x
  3. Step 3: Cross multiply
    38,157x = 59,346 × 59,346
  4. Step 4: Simplify right side
    38,157x = 3,521,947,716
  5. Step 5: Solve for x
    x = 3,521,947,716/38,157
  6. Step 6: Final answer
    x = 92,301.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.