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Finding the Third Proportional to 13,451.50 and 31,258.75

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Solution

The third proportional to 13,451.50 and 31,258.75 is: 72,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.50 : 31,258.75 = 31,258.75 : x
  2. Step 2: Convert to fraction form
    13,451.50/31,258.75 = 31,258.75/x
  3. Step 3: Cross multiply
    13,451.50x = 31,258.75 × 31,258.75
  4. Step 4: Simplify right side
    13,451.50x = 977,109,451.56
  5. Step 5: Solve for x
    x = 977,109,451.56/13,451.50
  6. Step 6: Final answer
    x = 72,639.44

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.