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Finding the Third Proportional to 10,302.94 and 22,063.69

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Solution

The third proportional to 10,302.94 and 22,063.69 is: 47,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.94 : 22,063.69 = 22,063.69 : x
  2. Step 2: Convert to fraction form
    10,302.94/22,063.69 = 22,063.69/x
  3. Step 3: Cross multiply
    10,302.94x = 22,063.69 × 22,063.69
  4. Step 4: Simplify right side
    10,302.94x = 486,806,306.10
  5. Step 5: Solve for x
    x = 486,806,306.10/10,302.94
  6. Step 6: Final answer
    x = 47,249.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.