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Finding the Third Proportional to 30,784 and 66,491

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Solution

The third proportional to 30,784 and 66,491 is: 143,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784 : 66,491 = 66,491 : x
  2. Step 2: Convert to fraction form
    30,784/66,491 = 66,491/x
  3. Step 3: Cross multiply
    30,784x = 66,491 × 66,491
  4. Step 4: Simplify right side
    30,784x = 4,421,053,081
  5. Step 5: Solve for x
    x = 4,421,053,081/30,784
  6. Step 6: Final answer
    x = 143,615.29

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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.