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Finding the Third Proportional to 39,656 and 58,388

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Solution

The third proportional to 39,656 and 58,388 is: 85,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,656 : 58,388 = 58,388 : x
  2. Step 2: Convert to fraction form
    39,656/58,388 = 58,388/x
  3. Step 3: Cross multiply
    39,656x = 58,388 × 58,388
  4. Step 4: Simplify right side
    39,656x = 3,409,158,544
  5. Step 5: Solve for x
    x = 3,409,158,544/39,656
  6. Step 6: Final answer
    x = 85,968.29

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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.