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Finding the Third Proportional to 30,970 and 66,908

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Solution

The third proportional to 30,970 and 66,908 is: 144,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970 : 66,908 = 66,908 : x
  2. Step 2: Convert to fraction form
    30,970/66,908 = 66,908/x
  3. Step 3: Cross multiply
    30,970x = 66,908 × 66,908
  4. Step 4: Simplify right side
    30,970x = 4,476,680,464
  5. Step 5: Solve for x
    x = 4,476,680,464/30,970
  6. Step 6: Final answer
    x = 144,548.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.