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Finding the Third Proportional to 24,256 and 38,726

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Solution

The third proportional to 24,256 and 38,726 is: 61,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256 : 38,726 = 38,726 : x
  2. Step 2: Convert to fraction form
    24,256/38,726 = 38,726/x
  3. Step 3: Cross multiply
    24,256x = 38,726 × 38,726
  4. Step 4: Simplify right side
    24,256x = 1,499,703,076
  5. Step 5: Solve for x
    x = 1,499,703,076/24,256
  6. Step 6: Final answer
    x = 61,828.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.