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Finding the Third Proportional to 36,101 and 53,058

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Solution

The third proportional to 36,101 and 53,058 is: 77,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,101 : 53,058 = 53,058 : x
  2. Step 2: Convert to fraction form
    36,101/53,058 = 53,058/x
  3. Step 3: Cross multiply
    36,101x = 53,058 × 53,058
  4. Step 4: Simplify right side
    36,101x = 2,815,151,364
  5. Step 5: Solve for x
    x = 2,815,151,364/36,101
  6. Step 6: Final answer
    x = 77,979.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.