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Finding the Third Proportional to 1,525.87 and 2,060.75

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Solution

The third proportional to 1,525.87 and 2,060.75 is: 2,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.87 : 2,060.75 = 2,060.75 : x
  2. Step 2: Convert to fraction form
    1,525.87/2,060.75 = 2,060.75/x
  3. Step 3: Cross multiply
    1,525.87x = 2,060.75 × 2,060.75
  4. Step 4: Simplify right side
    1,525.87x = 4,246,706.66
  5. Step 5: Solve for x
    x = 4,246,706.66/1,525.87
  6. Step 6: Final answer
    x = 2,783.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.