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Finding the Third Proportional to 10,350.18 and 23,042.07

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Solution

The third proportional to 10,350.18 and 23,042.07 is: 51,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.18 : 23,042.07 = 23,042.07 : x
  2. Step 2: Convert to fraction form
    10,350.18/23,042.07 = 23,042.07/x
  3. Step 3: Cross multiply
    10,350.18x = 23,042.07 × 23,042.07
  4. Step 4: Simplify right side
    10,350.18x = 530,937,184.30
  5. Step 5: Solve for x
    x = 530,937,184.30/10,350.18
  6. Step 6: Final answer
    x = 51,297.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.