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Finding the Third Proportional to 1,878 and 3,013.50

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Solution

The third proportional to 1,878 and 3,013.50 is: 4,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878 : 3,013.50 = 3,013.50 : x
  2. Step 2: Convert to fraction form
    1,878/3,013.50 = 3,013.50/x
  3. Step 3: Cross multiply
    1,878x = 3,013.50 × 3,013.50
  4. Step 4: Simplify right side
    1,878x = 9,081,182.25
  5. Step 5: Solve for x
    x = 9,081,182.25/1,878
  6. Step 6: Final answer
    x = 4,835.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.