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Finding the Third Proportional to 29,820 and 36,156

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Solution

The third proportional to 29,820 and 36,156 is: 43,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820 : 36,156 = 36,156 : x
  2. Step 2: Convert to fraction form
    29,820/36,156 = 36,156/x
  3. Step 3: Cross multiply
    29,820x = 36,156 × 36,156
  4. Step 4: Simplify right side
    29,820x = 1,307,256,336
  5. Step 5: Solve for x
    x = 1,307,256,336/29,820
  6. Step 6: Final answer
    x = 43,838.24

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.