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Finding the Third Proportional to 10,650.23 and 22,371.19

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Solution

The third proportional to 10,650.23 and 22,371.19 is: 46,991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.23 : 22,371.19 = 22,371.19 : x
  2. Step 2: Convert to fraction form
    10,650.23/22,371.19 = 22,371.19/x
  3. Step 3: Cross multiply
    10,650.23x = 22,371.19 × 22,371.19
  4. Step 4: Simplify right side
    10,650.23x = 500,470,030.16
  5. Step 5: Solve for x
    x = 500,470,030.16/10,650.23
  6. Step 6: Final answer
    x = 46,991.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.