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Finding the Third Proportional to 14,262.50 and 31,804.38

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Solution

The third proportional to 14,262.50 and 31,804.38 is: 70,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.50 : 31,804.38 = 31,804.38 : x
  2. Step 2: Convert to fraction form
    14,262.50/31,804.38 = 31,804.38/x
  3. Step 3: Cross multiply
    14,262.50x = 31,804.38 × 31,804.38
  4. Step 4: Simplify right side
    14,262.50x = 1,011,518,269.14
  5. Step 5: Solve for x
    x = 1,011,518,269.14/14,262.50
  6. Step 6: Final answer
    x = 70,921.53

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.