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Finding the Third Proportional to 1,533 and 2,056.50

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Solution

The third proportional to 1,533 and 2,056.50 is: 2,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533 : 2,056.50 = 2,056.50 : x
  2. Step 2: Convert to fraction form
    1,533/2,056.50 = 2,056.50/x
  3. Step 3: Cross multiply
    1,533x = 2,056.50 × 2,056.50
  4. Step 4: Simplify right side
    1,533x = 4,229,192.25
  5. Step 5: Solve for x
    x = 4,229,192.25/1,533
  6. Step 6: Final answer
    x = 2,758.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.