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Finding the Third Proportional to 8,385 and 11,953.50

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Solution

The third proportional to 8,385 and 11,953.50 is: 17,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385 : 11,953.50 = 11,953.50 : x
  2. Step 2: Convert to fraction form
    8,385/11,953.50 = 11,953.50/x
  3. Step 3: Cross multiply
    8,385x = 11,953.50 × 11,953.50
  4. Step 4: Simplify right side
    8,385x = 142,886,162.25
  5. Step 5: Solve for x
    x = 142,886,162.25/8,385
  6. Step 6: Final answer
    x = 17,040.69

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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.