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Finding the Third Proportional to 2,990.63 and 6,548.25

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Solution

The third proportional to 2,990.63 and 6,548.25 is: 14,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.63 : 6,548.25 = 6,548.25 : x
  2. Step 2: Convert to fraction form
    2,990.63/6,548.25 = 6,548.25/x
  3. Step 3: Cross multiply
    2,990.63x = 6,548.25 × 6,548.25
  4. Step 4: Simplify right side
    2,990.63x = 42,879,578.06
  5. Step 5: Solve for x
    x = 42,879,578.06/2,990.63
  6. Step 6: Final answer
    x = 14,338.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.