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Finding the Third Proportional to 762.50 and 1,765

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Solution

The third proportional to 762.50 and 1,765 is: 4,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.50 : 1,765 = 1,765 : x
  2. Step 2: Convert to fraction form
    762.50/1,765 = 1,765/x
  3. Step 3: Cross multiply
    762.50x = 1,765 × 1,765
  4. Step 4: Simplify right side
    762.50x = 3,115,225
  5. Step 5: Solve for x
    x = 3,115,225/762.50
  6. Step 6: Final answer
    x = 4,085.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.