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Finding the Third Proportional to 36,465 and 57,129

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Solution

The third proportional to 36,465 and 57,129 is: 89,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,465 : 57,129 = 57,129 : x
  2. Step 2: Convert to fraction form
    36,465/57,129 = 57,129/x
  3. Step 3: Cross multiply
    36,465x = 57,129 × 57,129
  4. Step 4: Simplify right side
    36,465x = 3,263,722,641
  5. Step 5: Solve for x
    x = 3,263,722,641/36,465
  6. Step 6: Final answer
    x = 89,502.88

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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.