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Finding the Third Proportional to 36,460 and 57,121

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Solution

The third proportional to 36,460 and 57,121 is: 89,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460 : 57,121 = 57,121 : x
  2. Step 2: Convert to fraction form
    36,460/57,121 = 57,121/x
  3. Step 3: Cross multiply
    36,460x = 57,121 × 57,121
  4. Step 4: Simplify right side
    36,460x = 3,262,808,641
  5. Step 5: Solve for x
    x = 3,262,808,641/36,460
  6. Step 6: Final answer
    x = 89,490.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.