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Finding the Third Proportional to 29,826 and 43,707

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Solution

The third proportional to 29,826 and 43,707 is: 64,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826 : 43,707 = 43,707 : x
  2. Step 2: Convert to fraction form
    29,826/43,707 = 43,707/x
  3. Step 3: Cross multiply
    29,826x = 43,707 × 43,707
  4. Step 4: Simplify right side
    29,826x = 1,910,301,849
  5. Step 5: Solve for x
    x = 1,910,301,849/29,826
  6. Step 6: Final answer
    x = 64,048.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.