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Finding the Third Proportional to 29,646 and 45,890

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Solution

The third proportional to 29,646 and 45,890 is: 71,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646 : 45,890 = 45,890 : x
  2. Step 2: Convert to fraction form
    29,646/45,890 = 45,890/x
  3. Step 3: Cross multiply
    29,646x = 45,890 × 45,890
  4. Step 4: Simplify right side
    29,646x = 2,105,892,100
  5. Step 5: Solve for x
    x = 2,105,892,100/29,646
  6. Step 6: Final answer
    x = 71,034.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.