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Finding the Third Proportional to 29,801 and 46,335

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Solution

The third proportional to 29,801 and 46,335 is: 72,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,801 : 46,335 = 46,335 : x
  2. Step 2: Convert to fraction form
    29,801/46,335 = 46,335/x
  3. Step 3: Cross multiply
    29,801x = 46,335 × 46,335
  4. Step 4: Simplify right side
    29,801x = 2,146,932,225
  5. Step 5: Solve for x
    x = 2,146,932,225/29,801
  6. Step 6: Final answer
    x = 72,042.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.