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Finding the Third Proportional to 14,352.19 and 16,440.47

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Solution

The third proportional to 14,352.19 and 16,440.47 is: 18,832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.19 : 16,440.47 = 16,440.47 : x
  2. Step 2: Convert to fraction form
    14,352.19/16,440.47 = 16,440.47/x
  3. Step 3: Cross multiply
    14,352.19x = 16,440.47 × 16,440.47
  4. Step 4: Simplify right side
    14,352.19x = 270,289,012.72
  5. Step 5: Solve for x
    x = 270,289,012.72/14,352.19
  6. Step 6: Final answer
    x = 18,832.60

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.