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Finding the Third Proportional to 29,623 and 70,824

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Solution

The third proportional to 29,623 and 70,824 is: 169,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,623 : 70,824 = 70,824 : x
  2. Step 2: Convert to fraction form
    29,623/70,824 = 70,824/x
  3. Step 3: Cross multiply
    29,623x = 70,824 × 70,824
  4. Step 4: Simplify right side
    29,623x = 5,016,038,976
  5. Step 5: Solve for x
    x = 5,016,038,976/29,623
  6. Step 6: Final answer
    x = 169,329.20

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.