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Finding the Third Proportional to 11,468.50 and 18,246.50

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Solution

The third proportional to 11,468.50 and 18,246.50 is: 29,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.50 : 18,246.50 = 18,246.50 : x
  2. Step 2: Convert to fraction form
    11,468.50/18,246.50 = 18,246.50/x
  3. Step 3: Cross multiply
    11,468.50x = 18,246.50 × 18,246.50
  4. Step 4: Simplify right side
    11,468.50x = 332,934,762.25
  5. Step 5: Solve for x
    x = 332,934,762.25/11,468.50
  6. Step 6: Final answer
    x = 29,030.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.