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Finding the Third Proportional to 4,685 and 11,040.50

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Solution

The third proportional to 4,685 and 11,040.50 is: 26,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685 : 11,040.50 = 11,040.50 : x
  2. Step 2: Convert to fraction form
    4,685/11,040.50 = 11,040.50/x
  3. Step 3: Cross multiply
    4,685x = 11,040.50 × 11,040.50
  4. Step 4: Simplify right side
    4,685x = 121,892,640.25
  5. Step 5: Solve for x
    x = 121,892,640.25/4,685
  6. Step 6: Final answer
    x = 26,017.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.