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Finding the Third Proportional to 6,032.81 and 9,384.19

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Solution

The third proportional to 6,032.81 and 9,384.19 is: 14,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.81 : 9,384.19 = 9,384.19 : x
  2. Step 2: Convert to fraction form
    6,032.81/9,384.19 = 9,384.19/x
  3. Step 3: Cross multiply
    6,032.81x = 9,384.19 × 9,384.19
  4. Step 4: Simplify right side
    6,032.81x = 88,062,975.04
  5. Step 5: Solve for x
    x = 88,062,975.04/6,032.81
  6. Step 6: Final answer
    x = 14,597.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.