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Finding the Third Proportional to 15,602 and 31,933

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Solution

The third proportional to 15,602 and 31,933 is: 65,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602 : 31,933 = 31,933 : x
  2. Step 2: Convert to fraction form
    15,602/31,933 = 31,933/x
  3. Step 3: Cross multiply
    15,602x = 31,933 × 31,933
  4. Step 4: Simplify right side
    15,602x = 1,019,716,489
  5. Step 5: Solve for x
    x = 1,019,716,489/15,602
  6. Step 6: Final answer
    x = 65,358.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.