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Finding the Third Proportional to 38,970 and 85,232

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Solution

The third proportional to 38,970 and 85,232 is: 186,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970 : 85,232 = 85,232 : x
  2. Step 2: Convert to fraction form
    38,970/85,232 = 85,232/x
  3. Step 3: Cross multiply
    38,970x = 85,232 × 85,232
  4. Step 4: Simplify right side
    38,970x = 7,264,493,824
  5. Step 5: Solve for x
    x = 7,264,493,824/38,970
  6. Step 6: Final answer
    x = 186,412.47

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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.