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Finding the Third Proportional to 1,710.28 and 3,765.66

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Solution

The third proportional to 1,710.28 and 3,765.66 is: 8,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.28 : 3,765.66 = 3,765.66 : x
  2. Step 2: Convert to fraction form
    1,710.28/3,765.66 = 3,765.66/x
  3. Step 3: Cross multiply
    1,710.28x = 3,765.66 × 3,765.66
  4. Step 4: Simplify right side
    1,710.28x = 14,180,166.99
  5. Step 5: Solve for x
    x = 14,180,166.99/1,710.28
  6. Step 6: Final answer
    x = 8,291.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.