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Finding the Third Proportional to 30,243 and 60,607

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Solution

The third proportional to 30,243 and 60,607 is: 121,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243 : 60,607 = 60,607 : x
  2. Step 2: Convert to fraction form
    30,243/60,607 = 60,607/x
  3. Step 3: Cross multiply
    30,243x = 60,607 × 60,607
  4. Step 4: Simplify right side
    30,243x = 3,673,208,449
  5. Step 5: Solve for x
    x = 3,673,208,449/30,243
  6. Step 6: Final answer
    x = 121,456.48

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.