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Finding the Third Proportional to 14,352.19 and 31,073.63

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Solution

The third proportional to 14,352.19 and 31,073.63 is: 67,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.19 : 31,073.63 = 31,073.63 : x
  2. Step 2: Convert to fraction form
    14,352.19/31,073.63 = 31,073.63/x
  3. Step 3: Cross multiply
    14,352.19x = 31,073.63 × 31,073.63
  4. Step 4: Simplify right side
    14,352.19x = 965,570,170.64
  5. Step 5: Solve for x
    x = 965,570,170.64/14,352.19
  6. Step 6: Final answer
    x = 67,276.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.