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Finding the Third Proportional to 14,685.75 and 16,845.75

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Solution

The third proportional to 14,685.75 and 16,845.75 is: 19,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.75 : 16,845.75 = 16,845.75 : x
  2. Step 2: Convert to fraction form
    14,685.75/16,845.75 = 16,845.75/x
  3. Step 3: Cross multiply
    14,685.75x = 16,845.75 × 16,845.75
  4. Step 4: Simplify right side
    14,685.75x = 283,779,293.06
  5. Step 5: Solve for x
    x = 283,779,293.06/14,685.75
  6. Step 6: Final answer
    x = 19,323.45

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.