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Finding the Third Proportional to 12,583.69 and 23,802.19

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Solution

The third proportional to 12,583.69 and 23,802.19 is: 45,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.69 : 23,802.19 = 23,802.19 : x
  2. Step 2: Convert to fraction form
    12,583.69/23,802.19 = 23,802.19/x
  3. Step 3: Cross multiply
    12,583.69x = 23,802.19 × 23,802.19
  4. Step 4: Simplify right side
    12,583.69x = 566,544,129.79
  5. Step 5: Solve for x
    x = 566,544,129.79/12,583.69
  6. Step 6: Final answer
    x = 45,022.11

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.