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Finding the Third Proportional to 30,644 and 47,356

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Solution

The third proportional to 30,644 and 47,356 is: 73,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644 : 47,356 = 47,356 : x
  2. Step 2: Convert to fraction form
    30,644/47,356 = 47,356/x
  3. Step 3: Cross multiply
    30,644x = 47,356 × 47,356
  4. Step 4: Simplify right side
    30,644x = 2,242,590,736
  5. Step 5: Solve for x
    x = 2,242,590,736/30,644
  6. Step 6: Final answer
    x = 73,182.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.