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Finding the Third Proportional to 11,800.69 and 17,875.69

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Solution

The third proportional to 11,800.69 and 17,875.69 is: 27,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.69 : 17,875.69 = 17,875.69 : x
  2. Step 2: Convert to fraction form
    11,800.69/17,875.69 = 17,875.69/x
  3. Step 3: Cross multiply
    11,800.69x = 17,875.69 × 17,875.69
  4. Step 4: Simplify right side
    11,800.69x = 319,540,203.60
  5. Step 5: Solve for x
    x = 319,540,203.60/11,800.69
  6. Step 6: Final answer
    x = 27,078.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.