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Finding the Third Proportional to 15,784 and 37,336

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Solution

The third proportional to 15,784 and 37,336 is: 88,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784 : 37,336 = 37,336 : x
  2. Step 2: Convert to fraction form
    15,784/37,336 = 37,336/x
  3. Step 3: Cross multiply
    15,784x = 37,336 × 37,336
  4. Step 4: Simplify right side
    15,784x = 1,393,976,896
  5. Step 5: Solve for x
    x = 1,393,976,896/15,784
  6. Step 6: Final answer
    x = 88,315.82

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.