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Finding the Third Proportional to 525.87 and 1,152.35

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Solution

The third proportional to 525.87 and 1,152.35 is: 2,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.87 : 1,152.35 = 1,152.35 : x
  2. Step 2: Convert to fraction form
    525.87/1,152.35 = 1,152.35/x
  3. Step 3: Cross multiply
    525.87x = 1,152.35 × 1,152.35
  4. Step 4: Simplify right side
    525.87x = 1,327,914.12
  5. Step 5: Solve for x
    x = 1,327,914.12/525.87
  6. Step 6: Final answer
    x = 2,525.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.