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Finding the Third Proportional to 6,148.88 and 13,193.63

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Solution

The third proportional to 6,148.88 and 13,193.63 is: 28,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.88 : 13,193.63 = 13,193.63 : x
  2. Step 2: Convert to fraction form
    6,148.88/13,193.63 = 13,193.63/x
  3. Step 3: Cross multiply
    6,148.88x = 13,193.63 × 13,193.63
  4. Step 4: Simplify right side
    6,148.88x = 174,071,740.64
  5. Step 5: Solve for x
    x = 174,071,740.64/6,148.88
  6. Step 6: Final answer
    x = 28,309.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.