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Finding the Third Proportional to 23,460 and 32,580

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Solution

The third proportional to 23,460 and 32,580 is: 45,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,460 : 32,580 = 32,580 : x
  2. Step 2: Convert to fraction form
    23,460/32,580 = 32,580/x
  3. Step 3: Cross multiply
    23,460x = 32,580 × 32,580
  4. Step 4: Simplify right side
    23,460x = 1,061,456,400
  5. Step 5: Solve for x
    x = 1,061,456,400/23,460
  6. Step 6: Final answer
    x = 45,245.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.