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Finding the Third Proportional to 8,482.22 and 18,656.16

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Solution

The third proportional to 8,482.22 and 18,656.16 is: 41,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.22 : 18,656.16 = 18,656.16 : x
  2. Step 2: Convert to fraction form
    8,482.22/18,656.16 = 18,656.16/x
  3. Step 3: Cross multiply
    8,482.22x = 18,656.16 × 18,656.16
  4. Step 4: Simplify right side
    8,482.22x = 348,052,166.02
  5. Step 5: Solve for x
    x = 348,052,166.02/8,482.22
  6. Step 6: Final answer
    x = 41,033.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.