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Finding the Third Proportional to 8,645.48 and 12,968.23

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Solution

The third proportional to 8,645.48 and 12,968.23 is: 19,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.48 : 12,968.23 = 12,968.23 : x
  2. Step 2: Convert to fraction form
    8,645.48/12,968.23 = 12,968.23/x
  3. Step 3: Cross multiply
    8,645.48x = 12,968.23 × 12,968.23
  4. Step 4: Simplify right side
    8,645.48x = 168,174,900.18
  5. Step 5: Solve for x
    x = 168,174,900.18/8,645.48
  6. Step 6: Final answer
    x = 19,452.34

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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.