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Finding the Third Proportional to 33,047 and 47,359

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Solution

The third proportional to 33,047 and 47,359 is: 67,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,047 : 47,359 = 47,359 : x
  2. Step 2: Convert to fraction form
    33,047/47,359 = 47,359/x
  3. Step 3: Cross multiply
    33,047x = 47,359 × 47,359
  4. Step 4: Simplify right side
    33,047x = 2,242,874,881
  5. Step 5: Solve for x
    x = 2,242,874,881/33,047
  6. Step 6: Final answer
    x = 67,869.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.