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Finding the Third Proportional to 8,923.50 and 13,617

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Solution

The third proportional to 8,923.50 and 13,617 is: 20,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.50 : 13,617 = 13,617 : x
  2. Step 2: Convert to fraction form
    8,923.50/13,617 = 13,617/x
  3. Step 3: Cross multiply
    8,923.50x = 13,617 × 13,617
  4. Step 4: Simplify right side
    8,923.50x = 185,422,689
  5. Step 5: Solve for x
    x = 185,422,689/8,923.50
  6. Step 6: Final answer
    x = 20,779.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.