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Finding the Third Proportional to 5,603.95 and 8,395.08

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Solution

The third proportional to 5,603.95 and 8,395.08 is: 12,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.95 : 8,395.08 = 8,395.08 : x
  2. Step 2: Convert to fraction form
    5,603.95/8,395.08 = 8,395.08/x
  3. Step 3: Cross multiply
    5,603.95x = 8,395.08 × 8,395.08
  4. Step 4: Simplify right side
    5,603.95x = 70,477,336.72
  5. Step 5: Solve for x
    x = 70,477,336.72/5,603.95
  6. Step 6: Final answer
    x = 12,576.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.