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Finding the Third Proportional to 29,130 and 43,842

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Solution

The third proportional to 29,130 and 43,842 is: 65,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,130 : 43,842 = 43,842 : x
  2. Step 2: Convert to fraction form
    29,130/43,842 = 43,842/x
  3. Step 3: Cross multiply
    29,130x = 43,842 × 43,842
  4. Step 4: Simplify right side
    29,130x = 1,922,120,964
  5. Step 5: Solve for x
    x = 1,922,120,964/29,130
  6. Step 6: Final answer
    x = 65,984.24

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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.