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Finding the Third Proportional to 38,368 and 83,827

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Solution

The third proportional to 38,368 and 83,827 is: 183,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,368 : 83,827 = 83,827 : x
  2. Step 2: Convert to fraction form
    38,368/83,827 = 83,827/x
  3. Step 3: Cross multiply
    38,368x = 83,827 × 83,827
  4. Step 4: Simplify right side
    38,368x = 7,026,965,929
  5. Step 5: Solve for x
    x = 7,026,965,929/38,368
  6. Step 6: Final answer
    x = 183,146.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.