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Finding the Third Proportional to 2,246.48 and 4,603.08

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Solution

The third proportional to 2,246.48 and 4,603.08 is: 9,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.48 : 4,603.08 = 4,603.08 : x
  2. Step 2: Convert to fraction form
    2,246.48/4,603.08 = 4,603.08/x
  3. Step 3: Cross multiply
    2,246.48x = 4,603.08 × 4,603.08
  4. Step 4: Simplify right side
    2,246.48x = 21,188,328.22
  5. Step 5: Solve for x
    x = 21,188,328.22/2,246.48
  6. Step 6: Final answer
    x = 9,431.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.