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Finding the Third Proportional to 4,786.59 and 10,421.16

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Solution

The third proportional to 4,786.59 and 10,421.16 is: 22,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.59 : 10,421.16 = 10,421.16 : x
  2. Step 2: Convert to fraction form
    4,786.59/10,421.16 = 10,421.16/x
  3. Step 3: Cross multiply
    4,786.59x = 10,421.16 × 10,421.16
  4. Step 4: Simplify right side
    4,786.59x = 108,600,497.59
  5. Step 5: Solve for x
    x = 108,600,497.59/4,786.59
  6. Step 6: Final answer
    x = 22,688.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.