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Finding the Third Proportional to 3,534.47 and 7,683.19

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Solution

The third proportional to 3,534.47 and 7,683.19 is: 16,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.47 : 7,683.19 = 7,683.19 : x
  2. Step 2: Convert to fraction form
    3,534.47/7,683.19 = 7,683.19/x
  3. Step 3: Cross multiply
    3,534.47x = 7,683.19 × 7,683.19
  4. Step 4: Simplify right side
    3,534.47x = 59,031,370.16
  5. Step 5: Solve for x
    x = 59,031,370.16/3,534.47
  6. Step 6: Final answer
    x = 16,701.62

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Why These Related Problems?

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