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Finding the Third Proportional to 1,461.25 and 3,157.75

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Solution

The third proportional to 1,461.25 and 3,157.75 is: 6,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.25 : 3,157.75 = 3,157.75 : x
  2. Step 2: Convert to fraction form
    1,461.25/3,157.75 = 3,157.75/x
  3. Step 3: Cross multiply
    1,461.25x = 3,157.75 × 3,157.75
  4. Step 4: Simplify right side
    1,461.25x = 9,971,385.06
  5. Step 5: Solve for x
    x = 9,971,385.06/1,461.25
  6. Step 6: Final answer
    x = 6,823.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.