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Finding the Third Proportional to 8,816 and 23,984

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Solution

The third proportional to 8,816 and 23,984 is: 65,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816 : 23,984 = 23,984 : x
  2. Step 2: Convert to fraction form
    8,816/23,984 = 23,984/x
  3. Step 3: Cross multiply
    8,816x = 23,984 × 23,984
  4. Step 4: Simplify right side
    8,816x = 575,232,256
  5. Step 5: Solve for x
    x = 575,232,256/8,816
  6. Step 6: Final answer
    x = 65,248.67

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.