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Finding the Third Proportional to 24,355.69 and 53,178.19

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Solution

The third proportional to 24,355.69 and 53,178.19 is: 116,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,355.69 : 53,178.19 = 53,178.19 : x
  2. Step 2: Convert to fraction form
    24,355.69/53,178.19 = 53,178.19/x
  3. Step 3: Cross multiply
    24,355.69x = 53,178.19 × 53,178.19
  4. Step 4: Simplify right side
    24,355.69x = 2,827,919,625.79
  5. Step 5: Solve for x
    x = 2,827,919,625.79/24,355.69
  6. Step 6: Final answer
    x = 116,109.21

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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.