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Finding the Third Proportional to 30,968 and 66,928

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Solution

The third proportional to 30,968 and 66,928 is: 144,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968 : 66,928 = 66,928 : x
  2. Step 2: Convert to fraction form
    30,968/66,928 = 66,928/x
  3. Step 3: Cross multiply
    30,968x = 66,928 × 66,928
  4. Step 4: Simplify right side
    30,968x = 4,479,357,184
  5. Step 5: Solve for x
    x = 4,479,357,184/30,968
  6. Step 6: Final answer
    x = 144,644.70

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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.