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Finding the Third Proportional to 3,913 and 6,059.75

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Solution

The third proportional to 3,913 and 6,059.75 is: 9,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913 : 6,059.75 = 6,059.75 : x
  2. Step 2: Convert to fraction form
    3,913/6,059.75 = 6,059.75/x
  3. Step 3: Cross multiply
    3,913x = 6,059.75 × 6,059.75
  4. Step 4: Simplify right side
    3,913x = 36,720,570.06
  5. Step 5: Solve for x
    x = 36,720,570.06/3,913
  6. Step 6: Final answer
    x = 9,384.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.