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Finding the Third Proportional to 27,334 and 42,169

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Solution

The third proportional to 27,334 and 42,169 is: 65,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,334 : 42,169 = 42,169 : x
  2. Step 2: Convert to fraction form
    27,334/42,169 = 42,169/x
  3. Step 3: Cross multiply
    27,334x = 42,169 × 42,169
  4. Step 4: Simplify right side
    27,334x = 1,778,224,561
  5. Step 5: Solve for x
    x = 1,778,224,561/27,334
  6. Step 6: Final answer
    x = 65,055.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.