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Finding the Third Proportional to 4,541.63 and 10,146.19

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Solution

The third proportional to 4,541.63 and 10,146.19 is: 22,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.63 : 10,146.19 = 10,146.19 : x
  2. Step 2: Convert to fraction form
    4,541.63/10,146.19 = 10,146.19/x
  3. Step 3: Cross multiply
    4,541.63x = 10,146.19 × 10,146.19
  4. Step 4: Simplify right side
    4,541.63x = 102,945,120.79
  5. Step 5: Solve for x
    x = 102,945,120.79/4,541.63
  6. Step 6: Final answer
    x = 22,667.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.