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Finding the Third Proportional to 29,662 and 39,953

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Solution

The third proportional to 29,662 and 39,953 is: 53,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,662 : 39,953 = 39,953 : x
  2. Step 2: Convert to fraction form
    29,662/39,953 = 39,953/x
  3. Step 3: Cross multiply
    29,662x = 39,953 × 39,953
  4. Step 4: Simplify right side
    29,662x = 1,596,242,209
  5. Step 5: Solve for x
    x = 1,596,242,209/29,662
  6. Step 6: Final answer
    x = 53,814.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.