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Finding the Third Proportional to 29,310 and 45,355

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Solution

The third proportional to 29,310 and 45,355 is: 70,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,310 : 45,355 = 45,355 : x
  2. Step 2: Convert to fraction form
    29,310/45,355 = 45,355/x
  3. Step 3: Cross multiply
    29,310x = 45,355 × 45,355
  4. Step 4: Simplify right side
    29,310x = 2,057,076,025
  5. Step 5: Solve for x
    x = 2,057,076,025/29,310
  6. Step 6: Final answer
    x = 70,183.42

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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.