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Finding the Third Proportional to 8,742.06 and 13,185.63

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Solution

The third proportional to 8,742.06 and 13,185.63 is: 19,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.06 : 13,185.63 = 13,185.63 : x
  2. Step 2: Convert to fraction form
    8,742.06/13,185.63 = 13,185.63/x
  3. Step 3: Cross multiply
    8,742.06x = 13,185.63 × 13,185.63
  4. Step 4: Simplify right side
    8,742.06x = 173,860,706.64
  5. Step 5: Solve for x
    x = 173,860,706.64/8,742.06
  6. Step 6: Final answer
    x = 19,887.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.