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Finding the Third Proportional to 29,259 and 57,058

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Solution

The third proportional to 29,259 and 57,058 is: 111,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,259 : 57,058 = 57,058 : x
  2. Step 2: Convert to fraction form
    29,259/57,058 = 57,058/x
  3. Step 3: Cross multiply
    29,259x = 57,058 × 57,058
  4. Step 4: Simplify right side
    29,259x = 3,255,615,364
  5. Step 5: Solve for x
    x = 3,255,615,364/29,259
  6. Step 6: Final answer
    x = 111,268.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.