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Finding the Third Proportional to 29,674 and 45,999

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Solution

The third proportional to 29,674 and 45,999 is: 71,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674 : 45,999 = 45,999 : x
  2. Step 2: Convert to fraction form
    29,674/45,999 = 45,999/x
  3. Step 3: Cross multiply
    29,674x = 45,999 × 45,999
  4. Step 4: Simplify right side
    29,674x = 2,115,908,001
  5. Step 5: Solve for x
    x = 2,115,908,001/29,674
  6. Step 6: Final answer
    x = 71,305.12

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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.