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Finding the Third Proportional to 11,169.93 and 24,374.51

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Solution

The third proportional to 11,169.93 and 24,374.51 is: 53,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169.93 : 24,374.51 = 24,374.51 : x
  2. Step 2: Convert to fraction form
    11,169.93/24,374.51 = 24,374.51/x
  3. Step 3: Cross multiply
    11,169.93x = 24,374.51 × 24,374.51
  4. Step 4: Simplify right side
    11,169.93x = 594,116,916.74
  5. Step 5: Solve for x
    x = 594,116,916.74/11,169.93
  6. Step 6: Final answer
    x = 53,188.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.