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Finding the Third Proportional to 28,693 and 41,898

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Solution

The third proportional to 28,693 and 41,898 is: 61,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,693 : 41,898 = 41,898 : x
  2. Step 2: Convert to fraction form
    28,693/41,898 = 41,898/x
  3. Step 3: Cross multiply
    28,693x = 41,898 × 41,898
  4. Step 4: Simplify right side
    28,693x = 1,755,442,404
  5. Step 5: Solve for x
    x = 1,755,442,404/28,693
  6. Step 6: Final answer
    x = 61,180.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.