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Finding the Third Proportional to 39,723 and 58,247.50

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Solution

The third proportional to 39,723 and 58,247.50 is: 85,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,723 : 58,247.50 = 58,247.50 : x
  2. Step 2: Convert to fraction form
    39,723/58,247.50 = 58,247.50/x
  3. Step 3: Cross multiply
    39,723x = 58,247.50 × 58,247.50
  4. Step 4: Simplify right side
    39,723x = 3,392,771,256.25
  5. Step 5: Solve for x
    x = 3,392,771,256.25/39,723
  6. Step 6: Final answer
    x = 85,410.75

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