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Finding the Third Proportional to 1,935 and 4,171.50

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Solution

The third proportional to 1,935 and 4,171.50 is: 8,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935 : 4,171.50 = 4,171.50 : x
  2. Step 2: Convert to fraction form
    1,935/4,171.50 = 4,171.50/x
  3. Step 3: Cross multiply
    1,935x = 4,171.50 × 4,171.50
  4. Step 4: Simplify right side
    1,935x = 17,401,412.25
  5. Step 5: Solve for x
    x = 17,401,412.25/1,935
  6. Step 6: Final answer
    x = 8,992.98

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Why These Related Problems?

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