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Finding the Third Proportional to 14,326.50 and 31,110

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Solution

The third proportional to 14,326.50 and 31,110 is: 67,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.50 : 31,110 = 31,110 : x
  2. Step 2: Convert to fraction form
    14,326.50/31,110 = 31,110/x
  3. Step 3: Cross multiply
    14,326.50x = 31,110 × 31,110
  4. Step 4: Simplify right side
    14,326.50x = 967,832,100
  5. Step 5: Solve for x
    x = 967,832,100/14,326.50
  6. Step 6: Final answer
    x = 67,555.38

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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.