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Finding the Third Proportional to 13,385.25 and 19,688.06

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Solution

The third proportional to 13,385.25 and 19,688.06 is: 28,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.25 : 19,688.06 = 19,688.06 : x
  2. Step 2: Convert to fraction form
    13,385.25/19,688.06 = 19,688.06/x
  3. Step 3: Cross multiply
    13,385.25x = 19,688.06 × 19,688.06
  4. Step 4: Simplify right side
    13,385.25x = 387,619,805.00
  5. Step 5: Solve for x
    x = 387,619,805.00/13,385.25
  6. Step 6: Final answer
    x = 28,958.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.