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Finding the Third Proportional to 4,762.13 and 10,416.94

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Solution

The third proportional to 4,762.13 and 10,416.94 is: 22,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.13 : 10,416.94 = 10,416.94 : x
  2. Step 2: Convert to fraction form
    4,762.13/10,416.94 = 10,416.94/x
  3. Step 3: Cross multiply
    4,762.13x = 10,416.94 × 10,416.94
  4. Step 4: Simplify right side
    4,762.13x = 108,512,586.88
  5. Step 5: Solve for x
    x = 108,512,586.88/4,762.13
  6. Step 6: Final answer
    x = 22,786.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.