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Finding the Third Proportional to 2,889.42 and 4,347.42

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Solution

The third proportional to 2,889.42 and 4,347.42 is: 6,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.42 : 4,347.42 = 4,347.42 : x
  2. Step 2: Convert to fraction form
    2,889.42/4,347.42 = 4,347.42/x
  3. Step 3: Cross multiply
    2,889.42x = 4,347.42 × 4,347.42
  4. Step 4: Simplify right side
    2,889.42x = 18,900,076.96
  5. Step 5: Solve for x
    x = 18,900,076.96/2,889.42
  6. Step 6: Final answer
    x = 6,541.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.