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Finding the Third Proportional to 2,265.13 and 3,603.63

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Solution

The third proportional to 2,265.13 and 3,603.63 is: 5,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.13 : 3,603.63 = 3,603.63 : x
  2. Step 2: Convert to fraction form
    2,265.13/3,603.63 = 3,603.63/x
  3. Step 3: Cross multiply
    2,265.13x = 3,603.63 × 3,603.63
  4. Step 4: Simplify right side
    2,265.13x = 12,986,113.14
  5. Step 5: Solve for x
    x = 12,986,113.14/2,265.13
  6. Step 6: Final answer
    x = 5,733.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.