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Finding the Third Proportional to 29,946 and 49,906

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Solution

The third proportional to 29,946 and 49,906 is: 83,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,946 : 49,906 = 49,906 : x
  2. Step 2: Convert to fraction form
    29,946/49,906 = 49,906/x
  3. Step 3: Cross multiply
    29,946x = 49,906 × 49,906
  4. Step 4: Simplify right side
    29,946x = 2,490,608,836
  5. Step 5: Solve for x
    x = 2,490,608,836/29,946
  6. Step 6: Final answer
    x = 83,170.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.