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Finding the Third Proportional to 29,953 and 32,833

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Solution

The third proportional to 29,953 and 32,833 is: 35,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953 : 32,833 = 32,833 : x
  2. Step 2: Convert to fraction form
    29,953/32,833 = 32,833/x
  3. Step 3: Cross multiply
    29,953x = 32,833 × 32,833
  4. Step 4: Simplify right side
    29,953x = 1,078,005,889
  5. Step 5: Solve for x
    x = 1,078,005,889/29,953
  6. Step 6: Final answer
    x = 35,989.91

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.