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Finding the Third Proportional to 9,051.75 and 13,070.25

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Solution

The third proportional to 9,051.75 and 13,070.25 is: 18,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.75 : 13,070.25 = 13,070.25 : x
  2. Step 2: Convert to fraction form
    9,051.75/13,070.25 = 13,070.25/x
  3. Step 3: Cross multiply
    9,051.75x = 13,070.25 × 13,070.25
  4. Step 4: Simplify right side
    9,051.75x = 170,831,435.06
  5. Step 5: Solve for x
    x = 170,831,435.06/9,051.75
  6. Step 6: Final answer
    x = 18,872.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.