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Finding the Third Proportional to 38,410 and 51,663

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Solution

The third proportional to 38,410 and 51,663 is: 69,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410 : 51,663 = 51,663 : x
  2. Step 2: Convert to fraction form
    38,410/51,663 = 51,663/x
  3. Step 3: Cross multiply
    38,410x = 51,663 × 51,663
  4. Step 4: Simplify right side
    38,410x = 2,669,065,569
  5. Step 5: Solve for x
    x = 2,669,065,569/38,410
  6. Step 6: Final answer
    x = 69,488.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.