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Finding the Third Proportional to 10,405.34 and 22,707.21

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Solution

The third proportional to 10,405.34 and 22,707.21 is: 49,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.34 : 22,707.21 = 22,707.21 : x
  2. Step 2: Convert to fraction form
    10,405.34/22,707.21 = 22,707.21/x
  3. Step 3: Cross multiply
    10,405.34x = 22,707.21 × 22,707.21
  4. Step 4: Simplify right side
    10,405.34x = 515,617,428.56
  5. Step 5: Solve for x
    x = 515,617,428.56/10,405.34
  6. Step 6: Final answer
    x = 49,553.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.