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Finding the Third Proportional to 8,500 and 13,454

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Solution

The third proportional to 8,500 and 13,454 is: 21,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500 : 13,454 = 13,454 : x
  2. Step 2: Convert to fraction form
    8,500/13,454 = 13,454/x
  3. Step 3: Cross multiply
    8,500x = 13,454 × 13,454
  4. Step 4: Simplify right side
    8,500x = 181,010,116
  5. Step 5: Solve for x
    x = 181,010,116/8,500
  6. Step 6: Final answer
    x = 21,295.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.