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Finding the Third Proportional to 4,465.13 and 11,436.19

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Solution

The third proportional to 4,465.13 and 11,436.19 is: 29,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.13 : 11,436.19 = 11,436.19 : x
  2. Step 2: Convert to fraction form
    4,465.13/11,436.19 = 11,436.19/x
  3. Step 3: Cross multiply
    4,465.13x = 11,436.19 × 11,436.19
  4. Step 4: Simplify right side
    4,465.13x = 130,786,384.54
  5. Step 5: Solve for x
    x = 130,786,384.54/4,465.13
  6. Step 6: Final answer
    x = 29,290.64

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.