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Finding the Third Proportional to 29,378 and 45,505

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Solution

The third proportional to 29,378 and 45,505 is: 70,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378 : 45,505 = 45,505 : x
  2. Step 2: Convert to fraction form
    29,378/45,505 = 45,505/x
  3. Step 3: Cross multiply
    29,378x = 45,505 × 45,505
  4. Step 4: Simplify right side
    29,378x = 2,070,705,025
  5. Step 5: Solve for x
    x = 2,070,705,025/29,378
  6. Step 6: Final answer
    x = 70,484.89

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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.