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Finding the Third Proportional to 3,026.95 and 6,548.34

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Solution

The third proportional to 3,026.95 and 6,548.34 is: 14,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.95 : 6,548.34 = 6,548.34 : x
  2. Step 2: Convert to fraction form
    3,026.95/6,548.34 = 6,548.34/x
  3. Step 3: Cross multiply
    3,026.95x = 6,548.34 × 6,548.34
  4. Step 4: Simplify right side
    3,026.95x = 42,880,805.87
  5. Step 5: Solve for x
    x = 42,880,805.87/3,026.95
  6. Step 6: Final answer
    x = 14,166.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.