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Finding the Third Proportional to 4,541.34 and 6,102.84

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Solution

The third proportional to 4,541.34 and 6,102.84 is: 8,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.34 : 6,102.84 = 6,102.84 : x
  2. Step 2: Convert to fraction form
    4,541.34/6,102.84 = 6,102.84/x
  3. Step 3: Cross multiply
    4,541.34x = 6,102.84 × 6,102.84
  4. Step 4: Simplify right side
    4,541.34x = 37,244,701.84
  5. Step 5: Solve for x
    x = 37,244,701.84/4,541.34
  6. Step 6: Final answer
    x = 8,201.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.