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Finding the Third Proportional to 4,115.81 and 8,925.19

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Solution

The third proportional to 4,115.81 and 8,925.19 is: 19,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.81 : 8,925.19 = 8,925.19 : x
  2. Step 2: Convert to fraction form
    4,115.81/8,925.19 = 8,925.19/x
  3. Step 3: Cross multiply
    4,115.81x = 8,925.19 × 8,925.19
  4. Step 4: Simplify right side
    4,115.81x = 79,658,971.91
  5. Step 5: Solve for x
    x = 79,658,971.91/4,115.81
  6. Step 6: Final answer
    x = 19,354.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.