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Finding the Third Proportional to 39,424 and 58,996

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Solution

The third proportional to 39,424 and 58,996 is: 88,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,424 : 58,996 = 58,996 : x
  2. Step 2: Convert to fraction form
    39,424/58,996 = 58,996/x
  3. Step 3: Cross multiply
    39,424x = 58,996 × 58,996
  4. Step 4: Simplify right side
    39,424x = 3,480,528,016
  5. Step 5: Solve for x
    x = 3,480,528,016/39,424
  6. Step 6: Final answer
    x = 88,284.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.