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Finding the Third Proportional to 4,218.75 and 8,609.63

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Solution

The third proportional to 4,218.75 and 8,609.63 is: 17,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.75 : 8,609.63 = 8,609.63 : x
  2. Step 2: Convert to fraction form
    4,218.75/8,609.63 = 8,609.63/x
  3. Step 3: Cross multiply
    4,218.75x = 8,609.63 × 8,609.63
  4. Step 4: Simplify right side
    4,218.75x = 74,125,642.64
  5. Step 5: Solve for x
    x = 74,125,642.64/4,218.75
  6. Step 6: Final answer
    x = 17,570.52

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.