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Finding the Third Proportional to 7,705 and 16,434

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Solution

The third proportional to 7,705 and 16,434 is: 35,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705 : 16,434 = 16,434 : x
  2. Step 2: Convert to fraction form
    7,705/16,434 = 16,434/x
  3. Step 3: Cross multiply
    7,705x = 16,434 × 16,434
  4. Step 4: Simplify right side
    7,705x = 270,076,356
  5. Step 5: Solve for x
    x = 270,076,356/7,705
  6. Step 6: Final answer
    x = 35,052.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.