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Finding the Third Proportional to 1,749.52 and 2,675.11

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Solution

The third proportional to 1,749.52 and 2,675.11 is: 4,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.52 : 2,675.11 = 2,675.11 : x
  2. Step 2: Convert to fraction form
    1,749.52/2,675.11 = 2,675.11/x
  3. Step 3: Cross multiply
    1,749.52x = 2,675.11 × 2,675.11
  4. Step 4: Simplify right side
    1,749.52x = 7,156,210.17
  5. Step 5: Solve for x
    x = 7,156,210.17/1,749.52
  6. Step 6: Final answer
    x = 4,090.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.