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Finding the Third Proportional to 14,443 and 31,530.50

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Solution

The third proportional to 14,443 and 31,530.50 is: 68,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443 : 31,530.50 = 31,530.50 : x
  2. Step 2: Convert to fraction form
    14,443/31,530.50 = 31,530.50/x
  3. Step 3: Cross multiply
    14,443x = 31,530.50 × 31,530.50
  4. Step 4: Simplify right side
    14,443x = 994,172,430.25
  5. Step 5: Solve for x
    x = 994,172,430.25/14,443
  6. Step 6: Final answer
    x = 68,834.21

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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.