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Finding the Third Proportional to 39,714 and 58,356

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Solution

The third proportional to 39,714 and 58,356 is: 85,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714 : 58,356 = 58,356 : x
  2. Step 2: Convert to fraction form
    39,714/58,356 = 58,356/x
  3. Step 3: Cross multiply
    39,714x = 58,356 × 58,356
  4. Step 4: Simplify right side
    39,714x = 3,405,422,736
  5. Step 5: Solve for x
    x = 3,405,422,736/39,714
  6. Step 6: Final answer
    x = 85,748.67

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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.