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Finding the Third Proportional to 10,464.75 and 14,915.25

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Solution

The third proportional to 10,464.75 and 14,915.25 is: 21,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.75 : 14,915.25 = 14,915.25 : x
  2. Step 2: Convert to fraction form
    10,464.75/14,915.25 = 14,915.25/x
  3. Step 3: Cross multiply
    10,464.75x = 14,915.25 × 14,915.25
  4. Step 4: Simplify right side
    10,464.75x = 222,464,682.56
  5. Step 5: Solve for x
    x = 222,464,682.56/10,464.75
  6. Step 6: Final answer
    x = 21,258.48

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.