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Finding the Third Proportional to 29,784 and 52,899

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Solution

The third proportional to 29,784 and 52,899 is: 93,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784 : 52,899 = 52,899 : x
  2. Step 2: Convert to fraction form
    29,784/52,899 = 52,899/x
  3. Step 3: Cross multiply
    29,784x = 52,899 × 52,899
  4. Step 4: Simplify right side
    29,784x = 2,798,304,201
  5. Step 5: Solve for x
    x = 2,798,304,201/29,784
  6. Step 6: Final answer
    x = 93,953.27

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.