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Finding the Third Proportional to 3,045 and 6,184.50

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Solution

The third proportional to 3,045 and 6,184.50 is: 12,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045 : 6,184.50 = 6,184.50 : x
  2. Step 2: Convert to fraction form
    3,045/6,184.50 = 6,184.50/x
  3. Step 3: Cross multiply
    3,045x = 6,184.50 × 6,184.50
  4. Step 4: Simplify right side
    3,045x = 38,248,040.25
  5. Step 5: Solve for x
    x = 38,248,040.25/3,045
  6. Step 6: Final answer
    x = 12,560.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.