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Finding the Third Proportional to 14,359.50 and 31,550.06

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Solution

The third proportional to 14,359.50 and 31,550.06 is: 69,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,359.50 : 31,550.06 = 31,550.06 : x
  2. Step 2: Convert to fraction form
    14,359.50/31,550.06 = 31,550.06/x
  3. Step 3: Cross multiply
    14,359.50x = 31,550.06 × 31,550.06
  4. Step 4: Simplify right side
    14,359.50x = 995,406,443.75
  5. Step 5: Solve for x
    x = 995,406,443.75/14,359.50
  6. Step 6: Final answer
    x = 69,320.41

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