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Finding the Third Proportional to 16,066 and 34,076

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Solution

The third proportional to 16,066 and 34,076 is: 72,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,066 : 34,076 = 34,076 : x
  2. Step 2: Convert to fraction form
    16,066/34,076 = 34,076/x
  3. Step 3: Cross multiply
    16,066x = 34,076 × 34,076
  4. Step 4: Simplify right side
    16,066x = 1,161,173,776
  5. Step 5: Solve for x
    x = 1,161,173,776/16,066
  6. Step 6: Final answer
    x = 72,275.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.