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Finding the Third Proportional to 38,457 and 83,232

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Solution

The third proportional to 38,457 and 83,232 is: 180,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457 : 83,232 = 83,232 : x
  2. Step 2: Convert to fraction form
    38,457/83,232 = 83,232/x
  3. Step 3: Cross multiply
    38,457x = 83,232 × 83,232
  4. Step 4: Simplify right side
    38,457x = 6,927,565,824
  5. Step 5: Solve for x
    x = 6,927,565,824/38,457
  6. Step 6: Final answer
    x = 180,137.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.