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Finding the Third Proportional to 47,784 and 94,389

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Solution

The third proportional to 47,784 and 94,389 is: 186,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,784 : 94,389 = 94,389 : x
  2. Step 2: Convert to fraction form
    47,784/94,389 = 94,389/x
  3. Step 3: Cross multiply
    47,784x = 94,389 × 94,389
  4. Step 4: Simplify right side
    47,784x = 8,909,283,321
  5. Step 5: Solve for x
    x = 8,909,283,321/47,784
  6. Step 6: Final answer
    x = 186,449.09

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.