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Finding the Third Proportional to 10,216.13 and 23,100.19

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Solution

The third proportional to 10,216.13 and 23,100.19 is: 52,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.13 : 23,100.19 = 23,100.19 : x
  2. Step 2: Convert to fraction form
    10,216.13/23,100.19 = 23,100.19/x
  3. Step 3: Cross multiply
    10,216.13x = 23,100.19 × 23,100.19
  4. Step 4: Simplify right side
    10,216.13x = 533,618,662.54
  5. Step 5: Solve for x
    x = 533,618,662.54/10,216.13
  6. Step 6: Final answer
    x = 52,232.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.