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Finding the Third Proportional to 1,955 and 4,551.50

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Solution

The third proportional to 1,955 and 4,551.50 is: 10,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955 : 4,551.50 = 4,551.50 : x
  2. Step 2: Convert to fraction form
    1,955/4,551.50 = 4,551.50/x
  3. Step 3: Cross multiply
    1,955x = 4,551.50 × 4,551.50
  4. Step 4: Simplify right side
    1,955x = 20,716,152.25
  5. Step 5: Solve for x
    x = 20,716,152.25/1,955
  6. Step 6: Final answer
    x = 10,596.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.