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Finding the Third Proportional to 1,214.53 and 1,755.58

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Solution

The third proportional to 1,214.53 and 1,755.58 is: 2,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.53 : 1,755.58 = 1,755.58 : x
  2. Step 2: Convert to fraction form
    1,214.53/1,755.58 = 1,755.58/x
  3. Step 3: Cross multiply
    1,214.53x = 1,755.58 × 1,755.58
  4. Step 4: Simplify right side
    1,214.53x = 3,082,061.41
  5. Step 5: Solve for x
    x = 3,082,061.41/1,214.53
  6. Step 6: Final answer
    x = 2,537.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.