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Finding the Third Proportional to 1,217 and 1,915.50

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Solution

The third proportional to 1,217 and 1,915.50 is: 3,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217 : 1,915.50 = 1,915.50 : x
  2. Step 2: Convert to fraction form
    1,217/1,915.50 = 1,915.50/x
  3. Step 3: Cross multiply
    1,217x = 1,915.50 × 1,915.50
  4. Step 4: Simplify right side
    1,217x = 3,669,140.25
  5. Step 5: Solve for x
    x = 3,669,140.25/1,217
  6. Step 6: Final answer
    x = 3,014.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.