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Finding the Third Proportional to 39,723 and 58,248

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Solution

The third proportional to 39,723 and 58,248 is: 85,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,723 : 58,248 = 58,248 : x
  2. Step 2: Convert to fraction form
    39,723/58,248 = 58,248/x
  3. Step 3: Cross multiply
    39,723x = 58,248 × 58,248
  4. Step 4: Simplify right side
    39,723x = 3,392,829,504
  5. Step 5: Solve for x
    x = 3,392,829,504/39,723
  6. Step 6: Final answer
    x = 85,412.22

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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.