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Finding the Third Proportional to 28,364 and 41,726

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Solution

The third proportional to 28,364 and 41,726 is: 61,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,364 : 41,726 = 41,726 : x
  2. Step 2: Convert to fraction form
    28,364/41,726 = 41,726/x
  3. Step 3: Cross multiply
    28,364x = 41,726 × 41,726
  4. Step 4: Simplify right side
    28,364x = 1,741,059,076
  5. Step 5: Solve for x
    x = 1,741,059,076/28,364
  6. Step 6: Final answer
    x = 61,382.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.