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Finding the Third Proportional to 30,382 and 66,740

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Solution

The third proportional to 30,382 and 66,740 is: 146,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382 : 66,740 = 66,740 : x
  2. Step 2: Convert to fraction form
    30,382/66,740 = 66,740/x
  3. Step 3: Cross multiply
    30,382x = 66,740 × 66,740
  4. Step 4: Simplify right side
    30,382x = 4,454,227,600
  5. Step 5: Solve for x
    x = 4,454,227,600/30,382
  6. Step 6: Final answer
    x = 146,607.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.