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Finding the Third Proportional to 4,291.59 and 6,125.34

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Solution

The third proportional to 4,291.59 and 6,125.34 is: 8,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.59 : 6,125.34 = 6,125.34 : x
  2. Step 2: Convert to fraction form
    4,291.59/6,125.34 = 6,125.34/x
  3. Step 3: Cross multiply
    4,291.59x = 6,125.34 × 6,125.34
  4. Step 4: Simplify right side
    4,291.59x = 37,519,836.06
  5. Step 5: Solve for x
    x = 37,519,836.06/4,291.59
  6. Step 6: Final answer
    x = 8,742.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.