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Finding the Third Proportional to 30,768 and 66,720

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Solution

The third proportional to 30,768 and 66,720 is: 144,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768 : 66,720 = 66,720 : x
  2. Step 2: Convert to fraction form
    30,768/66,720 = 66,720/x
  3. Step 3: Cross multiply
    30,768x = 66,720 × 66,720
  4. Step 4: Simplify right side
    30,768x = 4,451,558,400
  5. Step 5: Solve for x
    x = 4,451,558,400/30,768
  6. Step 6: Final answer
    x = 144,681.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.