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Finding the Third Proportional to 12,884.06 and 19,688.06

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Solution

The third proportional to 12,884.06 and 19,688.06 is: 30,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.06 : 19,688.06 = 19,688.06 : x
  2. Step 2: Convert to fraction form
    12,884.06/19,688.06 = 19,688.06/x
  3. Step 3: Cross multiply
    12,884.06x = 19,688.06 × 19,688.06
  4. Step 4: Simplify right side
    12,884.06x = 387,619,805.00
  5. Step 5: Solve for x
    x = 387,619,805.00/12,884.06
  6. Step 6: Final answer
    x = 30,085.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.