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Finding the Third Proportional to 2,053.13 and 4,847.63

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Solution

The third proportional to 2,053.13 and 4,847.63 is: 11,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.13 : 4,847.63 = 4,847.63 : x
  2. Step 2: Convert to fraction form
    2,053.13/4,847.63 = 4,847.63/x
  3. Step 3: Cross multiply
    2,053.13x = 4,847.63 × 4,847.63
  4. Step 4: Simplify right side
    2,053.13x = 23,499,468.14
  5. Step 5: Solve for x
    x = 23,499,468.14/2,053.13
  6. Step 6: Final answer
    x = 11,445.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.