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Finding the Third Proportional to 11,409.19 and 24,430.78

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Solution

The third proportional to 11,409.19 and 24,430.78 is: 52,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.19 : 24,430.78 = 24,430.78 : x
  2. Step 2: Convert to fraction form
    11,409.19/24,430.78 = 24,430.78/x
  3. Step 3: Cross multiply
    11,409.19x = 24,430.78 × 24,430.78
  4. Step 4: Simplify right side
    11,409.19x = 596,863,072.49
  5. Step 5: Solve for x
    x = 596,863,072.49/11,409.19
  6. Step 6: Final answer
    x = 52,314.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.