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Finding the Third Proportional to 29,360 and 51,826

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Solution

The third proportional to 29,360 and 51,826 is: 91,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,360 : 51,826 = 51,826 : x
  2. Step 2: Convert to fraction form
    29,360/51,826 = 51,826/x
  3. Step 3: Cross multiply
    29,360x = 51,826 × 51,826
  4. Step 4: Simplify right side
    29,360x = 2,685,934,276
  5. Step 5: Solve for x
    x = 2,685,934,276/29,360
  6. Step 6: Final answer
    x = 91,482.78

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.