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Finding the Third Proportional to 8,370 and 11,476.88

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Solution

The third proportional to 8,370 and 11,476.88 is: 15,737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 11,476.88 = 11,476.88 : x
  2. Step 2: Convert to fraction form
    8,370/11,476.88 = 11,476.88/x
  3. Step 3: Cross multiply
    8,370x = 11,476.88 × 11,476.88
  4. Step 4: Simplify right side
    8,370x = 131,718,659.77
  5. Step 5: Solve for x
    x = 131,718,659.77/8,370
  6. Step 6: Final answer
    x = 15,737.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.