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Finding the Third Proportional to 29,071 and 43,820

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Solution

The third proportional to 29,071 and 43,820 is: 66,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,071 : 43,820 = 43,820 : x
  2. Step 2: Convert to fraction form
    29,071/43,820 = 43,820/x
  3. Step 3: Cross multiply
    29,071x = 43,820 × 43,820
  4. Step 4: Simplify right side
    29,071x = 1,920,192,400
  5. Step 5: Solve for x
    x = 1,920,192,400/29,071
  6. Step 6: Final answer
    x = 66,051.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.