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Finding the Third Proportional to 2,967.95 and 5,498.00

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Solution

The third proportional to 2,967.95 and 5,498.00 is: 10,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.95 : 5,498.00 = 5,498.00 : x
  2. Step 2: Convert to fraction form
    2,967.95/5,498.00 = 5,498.00/x
  3. Step 3: Cross multiply
    2,967.95x = 5,498.00 × 5,498.00
  4. Step 4: Simplify right side
    2,967.95x = 30,228,015.74
  5. Step 5: Solve for x
    x = 30,228,015.74/2,967.95
  6. Step 6: Final answer
    x = 10,184.82

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.