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Finding the Third Proportional to 13,873.50 and 30,281.63

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Solution

The third proportional to 13,873.50 and 30,281.63 is: 66,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.50 : 30,281.63 = 30,281.63 : x
  2. Step 2: Convert to fraction form
    13,873.50/30,281.63 = 30,281.63/x
  3. Step 3: Cross multiply
    13,873.50x = 30,281.63 × 30,281.63
  4. Step 4: Simplify right side
    13,873.50x = 916,976,812.64
  5. Step 5: Solve for x
    x = 916,976,812.64/13,873.50
  6. Step 6: Final answer
    x = 66,095.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.