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Finding the Third Proportional to 14,967 and 31,513.50

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Solution

The third proportional to 14,967 and 31,513.50 is: 66,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967 : 31,513.50 = 31,513.50 : x
  2. Step 2: Convert to fraction form
    14,967/31,513.50 = 31,513.50/x
  3. Step 3: Cross multiply
    14,967x = 31,513.50 × 31,513.50
  4. Step 4: Simplify right side
    14,967x = 993,100,682.25
  5. Step 5: Solve for x
    x = 993,100,682.25/14,967
  6. Step 6: Final answer
    x = 66,352.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.