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Finding the Third Proportional to 30,434 and 66,004

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Solution

The third proportional to 30,434 and 66,004 is: 143,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434 : 66,004 = 66,004 : x
  2. Step 2: Convert to fraction form
    30,434/66,004 = 66,004/x
  3. Step 3: Cross multiply
    30,434x = 66,004 × 66,004
  4. Step 4: Simplify right side
    30,434x = 4,356,528,016
  5. Step 5: Solve for x
    x = 4,356,528,016/30,434
  6. Step 6: Final answer
    x = 143,146.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.