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Finding the Third Proportional to 4,847.34 and 10,514.81

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Solution

The third proportional to 4,847.34 and 10,514.81 is: 22,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.34 : 10,514.81 = 10,514.81 : x
  2. Step 2: Convert to fraction form
    4,847.34/10,514.81 = 10,514.81/x
  3. Step 3: Cross multiply
    4,847.34x = 10,514.81 × 10,514.81
  4. Step 4: Simplify right side
    4,847.34x = 110,561,281.91
  5. Step 5: Solve for x
    x = 110,561,281.91/4,847.34
  6. Step 6: Final answer
    x = 22,808.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.