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Finding the Third Proportional to 18,658 and 28,892

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Solution

The third proportional to 18,658 and 28,892 is: 44,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658 : 28,892 = 28,892 : x
  2. Step 2: Convert to fraction form
    18,658/28,892 = 28,892/x
  3. Step 3: Cross multiply
    18,658x = 28,892 × 28,892
  4. Step 4: Simplify right side
    18,658x = 834,747,664
  5. Step 5: Solve for x
    x = 834,747,664/18,658
  6. Step 6: Final answer
    x = 44,739.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.