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Finding the Third Proportional to 38,726 and 83,953

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Solution

The third proportional to 38,726 and 83,953 is: 181,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,726 : 83,953 = 83,953 : x
  2. Step 2: Convert to fraction form
    38,726/83,953 = 83,953/x
  3. Step 3: Cross multiply
    38,726x = 83,953 × 83,953
  4. Step 4: Simplify right side
    38,726x = 7,048,106,209
  5. Step 5: Solve for x
    x = 7,048,106,209/38,726
  6. Step 6: Final answer
    x = 181,999.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.