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Finding the Third Proportional to 30,724 and 66,307

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Solution

The third proportional to 30,724 and 66,307 is: 143,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724 : 66,307 = 66,307 : x
  2. Step 2: Convert to fraction form
    30,724/66,307 = 66,307/x
  3. Step 3: Cross multiply
    30,724x = 66,307 × 66,307
  4. Step 4: Simplify right side
    30,724x = 4,396,618,249
  5. Step 5: Solve for x
    x = 4,396,618,249/30,724
  6. Step 6: Final answer
    x = 143,100.45

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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.