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Finding the Third Proportional to 918.50 and 1,926.75

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Solution

The third proportional to 918.50 and 1,926.75 is: 4,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.50 : 1,926.75 = 1,926.75 : x
  2. Step 2: Convert to fraction form
    918.50/1,926.75 = 1,926.75/x
  3. Step 3: Cross multiply
    918.50x = 1,926.75 × 1,926.75
  4. Step 4: Simplify right side
    918.50x = 3,712,365.56
  5. Step 5: Solve for x
    x = 3,712,365.56/918.50
  6. Step 6: Final answer
    x = 4,041.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.