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Finding the Third Proportional to 29,674 and 46,213

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Solution

The third proportional to 29,674 and 46,213 is: 71,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674 : 46,213 = 46,213 : x
  2. Step 2: Convert to fraction form
    29,674/46,213 = 46,213/x
  3. Step 3: Cross multiply
    29,674x = 46,213 × 46,213
  4. Step 4: Simplify right side
    29,674x = 2,135,641,369
  5. Step 5: Solve for x
    x = 2,135,641,369/29,674
  6. Step 6: Final answer
    x = 71,970.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.