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Finding the Third Proportional to 29,946 and 45,828

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Solution

The third proportional to 29,946 and 45,828 is: 70,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,946 : 45,828 = 45,828 : x
  2. Step 2: Convert to fraction form
    29,946/45,828 = 45,828/x
  3. Step 3: Cross multiply
    29,946x = 45,828 × 45,828
  4. Step 4: Simplify right side
    29,946x = 2,100,205,584
  5. Step 5: Solve for x
    x = 2,100,205,584/29,946
  6. Step 6: Final answer
    x = 70,133.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.