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Finding the Third Proportional to 8,334.14 and 13,560.54

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Solution

The third proportional to 8,334.14 and 13,560.54 is: 22,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.14 : 13,560.54 = 13,560.54 : x
  2. Step 2: Convert to fraction form
    8,334.14/13,560.54 = 13,560.54/x
  3. Step 3: Cross multiply
    8,334.14x = 13,560.54 × 13,560.54
  4. Step 4: Simplify right side
    8,334.14x = 183,888,219.67
  5. Step 5: Solve for x
    x = 183,888,219.67/8,334.14
  6. Step 6: Final answer
    x = 22,064.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.