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Finding the Third Proportional to 29,385 and 52,937

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Solution

The third proportional to 29,385 and 52,937 is: 95,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,385 : 52,937 = 52,937 : x
  2. Step 2: Convert to fraction form
    29,385/52,937 = 52,937/x
  3. Step 3: Cross multiply
    29,385x = 52,937 × 52,937
  4. Step 4: Simplify right side
    29,385x = 2,802,325,969
  5. Step 5: Solve for x
    x = 2,802,325,969/29,385
  6. Step 6: Final answer
    x = 95,365.87

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.