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Finding the Third Proportional to 29,260 and 43,826

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Solution

The third proportional to 29,260 and 43,826 is: 65,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,260 : 43,826 = 43,826 : x
  2. Step 2: Convert to fraction form
    29,260/43,826 = 43,826/x
  3. Step 3: Cross multiply
    29,260x = 43,826 × 43,826
  4. Step 4: Simplify right side
    29,260x = 1,920,718,276
  5. Step 5: Solve for x
    x = 1,920,718,276/29,260
  6. Step 6: Final answer
    x = 65,643.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.