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Finding the Third Proportional to 30,034 and 61,972

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Solution

The third proportional to 30,034 and 61,972 is: 127,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034 : 61,972 = 61,972 : x
  2. Step 2: Convert to fraction form
    30,034/61,972 = 61,972/x
  3. Step 3: Cross multiply
    30,034x = 61,972 × 61,972
  4. Step 4: Simplify right side
    30,034x = 3,840,528,784
  5. Step 5: Solve for x
    x = 3,840,528,784/30,034
  6. Step 6: Final answer
    x = 127,872.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.