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Finding the Third Proportional to 7,934.48 and 16,962.47

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Solution

The third proportional to 7,934.48 and 16,962.47 is: 36,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.48 : 16,962.47 = 16,962.47 : x
  2. Step 2: Convert to fraction form
    7,934.48/16,962.47 = 16,962.47/x
  3. Step 3: Cross multiply
    7,934.48x = 16,962.47 × 16,962.47
  4. Step 4: Simplify right side
    7,934.48x = 287,725,346.09
  5. Step 5: Solve for x
    x = 287,725,346.09/7,934.48
  6. Step 6: Final answer
    x = 36,262.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.