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Finding the Third Proportional to 8,424 and 13,484

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Solution

The third proportional to 8,424 and 13,484 is: 21,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 13,484 = 13,484 : x
  2. Step 2: Convert to fraction form
    8,424/13,484 = 13,484/x
  3. Step 3: Cross multiply
    8,424x = 13,484 × 13,484
  4. Step 4: Simplify right side
    8,424x = 181,818,256
  5. Step 5: Solve for x
    x = 181,818,256/8,424
  6. Step 6: Final answer
    x = 21,583.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.