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Finding the Third Proportional to 14,296.50 and 31,501.50

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Solution

The third proportional to 14,296.50 and 31,501.50 is: 69,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.50 : 31,501.50 = 31,501.50 : x
  2. Step 2: Convert to fraction form
    14,296.50/31,501.50 = 31,501.50/x
  3. Step 3: Cross multiply
    14,296.50x = 31,501.50 × 31,501.50
  4. Step 4: Simplify right side
    14,296.50x = 992,344,502.25
  5. Step 5: Solve for x
    x = 992,344,502.25/14,296.50
  6. Step 6: Final answer
    x = 69,411.71

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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.