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Finding the Third Proportional to 14,284.25 and 31,337.25

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Solution

The third proportional to 14,284.25 and 31,337.25 is: 68,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.25 : 31,337.25 = 31,337.25 : x
  2. Step 2: Convert to fraction form
    14,284.25/31,337.25 = 31,337.25/x
  3. Step 3: Cross multiply
    14,284.25x = 31,337.25 × 31,337.25
  4. Step 4: Simplify right side
    14,284.25x = 982,023,237.56
  5. Step 5: Solve for x
    x = 982,023,237.56/14,284.25
  6. Step 6: Final answer
    x = 68,748.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.