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Finding the Third Proportional to 6,386.34 and 13,866.19

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Solution

The third proportional to 6,386.34 and 13,866.19 is: 30,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.34 : 13,866.19 = 13,866.19 : x
  2. Step 2: Convert to fraction form
    6,386.34/13,866.19 = 13,866.19/x
  3. Step 3: Cross multiply
    6,386.34x = 13,866.19 × 13,866.19
  4. Step 4: Simplify right side
    6,386.34x = 192,271,155.79
  5. Step 5: Solve for x
    x = 192,271,155.79/6,386.34
  6. Step 6: Final answer
    x = 30,106.61

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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.