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Finding the Third Proportional to 16,580 and 30,892

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Solution

The third proportional to 16,580 and 30,892 is: 57,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580 : 30,892 = 30,892 : x
  2. Step 2: Convert to fraction form
    16,580/30,892 = 30,892/x
  3. Step 3: Cross multiply
    16,580x = 30,892 × 30,892
  4. Step 4: Simplify right side
    16,580x = 954,315,664
  5. Step 5: Solve for x
    x = 954,315,664/16,580
  6. Step 6: Final answer
    x = 57,558.24

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.