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Finding the Third Proportional to 10,254.94 and 13,466.25

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Solution

The third proportional to 10,254.94 and 13,466.25 is: 17,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.94 : 13,466.25 = 13,466.25 : x
  2. Step 2: Convert to fraction form
    10,254.94/13,466.25 = 13,466.25/x
  3. Step 3: Cross multiply
    10,254.94x = 13,466.25 × 13,466.25
  4. Step 4: Simplify right side
    10,254.94x = 181,339,889.06
  5. Step 5: Solve for x
    x = 181,339,889.06/10,254.94
  6. Step 6: Final answer
    x = 17,683.18

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.