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Finding the Third Proportional to 51,690 and 74,523

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Solution

The third proportional to 51,690 and 74,523 is: 107,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,690 : 74,523 = 74,523 : x
  2. Step 2: Convert to fraction form
    51,690/74,523 = 74,523/x
  3. Step 3: Cross multiply
    51,690x = 74,523 × 74,523
  4. Step 4: Simplify right side
    51,690x = 5,553,677,529
  5. Step 5: Solve for x
    x = 5,553,677,529/51,690
  6. Step 6: Final answer
    x = 107,442.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.