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Finding the Third Proportional to 4,146.19 and 8,823.94

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Solution

The third proportional to 4,146.19 and 8,823.94 is: 18,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.19 : 8,823.94 = 8,823.94 : x
  2. Step 2: Convert to fraction form
    4,146.19/8,823.94 = 8,823.94/x
  3. Step 3: Cross multiply
    4,146.19x = 8,823.94 × 8,823.94
  4. Step 4: Simplify right side
    4,146.19x = 77,861,873.00
  5. Step 5: Solve for x
    x = 77,861,873.00/4,146.19
  6. Step 6: Final answer
    x = 18,779.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.