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Finding the Third Proportional to 27,953 and 42,293

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Solution

The third proportional to 27,953 and 42,293 is: 63,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,953 : 42,293 = 42,293 : x
  2. Step 2: Convert to fraction form
    27,953/42,293 = 42,293/x
  3. Step 3: Cross multiply
    27,953x = 42,293 × 42,293
  4. Step 4: Simplify right side
    27,953x = 1,788,697,849
  5. Step 5: Solve for x
    x = 1,788,697,849/27,953
  6. Step 6: Final answer
    x = 63,989.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.