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Finding the Third Proportional to 38,232 and 83,826

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Solution

The third proportional to 38,232 and 83,826 is: 183,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232 : 83,826 = 83,826 : x
  2. Step 2: Convert to fraction form
    38,232/83,826 = 83,826/x
  3. Step 3: Cross multiply
    38,232x = 83,826 × 83,826
  4. Step 4: Simplify right side
    38,232x = 7,026,798,276
  5. Step 5: Solve for x
    x = 7,026,798,276/38,232
  6. Step 6: Final answer
    x = 183,793.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.