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Finding the Third Proportional to 14,246.44 and 31,001.44

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Solution

The third proportional to 14,246.44 and 31,001.44 is: 67,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246.44 : 31,001.44 = 31,001.44 : x
  2. Step 2: Convert to fraction form
    14,246.44/31,001.44 = 31,001.44/x
  3. Step 3: Cross multiply
    14,246.44x = 31,001.44 × 31,001.44
  4. Step 4: Simplify right side
    14,246.44x = 961,089,127.07
  5. Step 5: Solve for x
    x = 961,089,127.07/14,246.44
  6. Step 6: Final answer
    x = 67,461.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.