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Finding the Third Proportional to 4,051.69 and 7,683.19

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Solution

The third proportional to 4,051.69 and 7,683.19 is: 14,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.69 : 7,683.19 = 7,683.19 : x
  2. Step 2: Convert to fraction form
    4,051.69/7,683.19 = 7,683.19/x
  3. Step 3: Cross multiply
    4,051.69x = 7,683.19 × 7,683.19
  4. Step 4: Simplify right side
    4,051.69x = 59,031,370.16
  5. Step 5: Solve for x
    x = 59,031,370.16/4,051.69
  6. Step 6: Final answer
    x = 14,569.58

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.