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Finding the Third Proportional to 7,824 and 13,984

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Solution

The third proportional to 7,824 and 13,984 is: 24,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824 : 13,984 = 13,984 : x
  2. Step 2: Convert to fraction form
    7,824/13,984 = 13,984/x
  3. Step 3: Cross multiply
    7,824x = 13,984 × 13,984
  4. Step 4: Simplify right side
    7,824x = 195,552,256
  5. Step 5: Solve for x
    x = 195,552,256/7,824
  6. Step 6: Final answer
    x = 24,993.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.