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Finding the Third Proportional to 14,455.13 and 31,741.88

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Solution

The third proportional to 14,455.13 and 31,741.88 is: 69,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.13 : 31,741.88 = 31,741.88 : x
  2. Step 2: Convert to fraction form
    14,455.13/31,741.88 = 31,741.88/x
  3. Step 3: Cross multiply
    14,455.13x = 31,741.88 × 31,741.88
  4. Step 4: Simplify right side
    14,455.13x = 1,007,546,628.52
  5. Step 5: Solve for x
    x = 1,007,546,628.52/14,455.13
  6. Step 6: Final answer
    x = 69,701.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.