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Finding the Third Proportional to 7,728.75 and 16,915.50

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Solution

The third proportional to 7,728.75 and 16,915.50 is: 37,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.75 : 16,915.50 = 16,915.50 : x
  2. Step 2: Convert to fraction form
    7,728.75/16,915.50 = 16,915.50/x
  3. Step 3: Cross multiply
    7,728.75x = 16,915.50 × 16,915.50
  4. Step 4: Simplify right side
    7,728.75x = 286,134,140.25
  5. Step 5: Solve for x
    x = 286,134,140.25/7,728.75
  6. Step 6: Final answer
    x = 37,022.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.