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Finding the Third Proportional to 1,525 and 3,563.50

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Solution

The third proportional to 1,525 and 3,563.50 is: 8,326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525 : 3,563.50 = 3,563.50 : x
  2. Step 2: Convert to fraction form
    1,525/3,563.50 = 3,563.50/x
  3. Step 3: Cross multiply
    1,525x = 3,563.50 × 3,563.50
  4. Step 4: Simplify right side
    1,525x = 12,698,532.25
  5. Step 5: Solve for x
    x = 12,698,532.25/1,525
  6. Step 6: Final answer
    x = 8,326.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.