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Finding the Third Proportional to 2,265.26 and 3,465.49

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Solution

The third proportional to 2,265.26 and 3,465.49 is: 5,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.26 : 3,465.49 = 3,465.49 : x
  2. Step 2: Convert to fraction form
    2,265.26/3,465.49 = 3,465.49/x
  3. Step 3: Cross multiply
    2,265.26x = 3,465.49 × 3,465.49
  4. Step 4: Simplify right side
    2,265.26x = 12,009,636.10
  5. Step 5: Solve for x
    x = 12,009,636.10/2,265.26
  6. Step 6: Final answer
    x = 5,301.66

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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.