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Finding the Third Proportional to 5,917.50 and 9,235.13

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Solution

The third proportional to 5,917.50 and 9,235.13 is: 14,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.50 : 9,235.13 = 9,235.13 : x
  2. Step 2: Convert to fraction form
    5,917.50/9,235.13 = 9,235.13/x
  3. Step 3: Cross multiply
    5,917.50x = 9,235.13 × 9,235.13
  4. Step 4: Simplify right side
    5,917.50x = 85,287,533.77
  5. Step 5: Solve for x
    x = 85,287,533.77/5,917.50
  6. Step 6: Final answer
    x = 14,412.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.