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Finding the Third Proportional to 10,416.73 and 23,085.24

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Solution

The third proportional to 10,416.73 and 23,085.24 is: 51,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.73 : 23,085.24 = 23,085.24 : x
  2. Step 2: Convert to fraction form
    10,416.73/23,085.24 = 23,085.24/x
  3. Step 3: Cross multiply
    10,416.73x = 23,085.24 × 23,085.24
  4. Step 4: Simplify right side
    10,416.73x = 532,928,181.41
  5. Step 5: Solve for x
    x = 532,928,181.41/10,416.73
  6. Step 6: Final answer
    x = 51,160.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.