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Finding the Third Proportional to 4,858.13 and 10,407.75

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Solution

The third proportional to 4,858.13 and 10,407.75 is: 22,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.13 : 10,407.75 = 10,407.75 : x
  2. Step 2: Convert to fraction form
    4,858.13/10,407.75 = 10,407.75/x
  3. Step 3: Cross multiply
    4,858.13x = 10,407.75 × 10,407.75
  4. Step 4: Simplify right side
    4,858.13x = 108,321,260.06
  5. Step 5: Solve for x
    x = 108,321,260.06/4,858.13
  6. Step 6: Final answer
    x = 22,296.93

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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.