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Finding the Third Proportional to 17,875.69 and 23,188.78

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Solution

The third proportional to 17,875.69 and 23,188.78 is: 30,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.69 : 23,188.78 = 23,188.78 : x
  2. Step 2: Convert to fraction form
    17,875.69/23,188.78 = 23,188.78/x
  3. Step 3: Cross multiply
    17,875.69x = 23,188.78 × 23,188.78
  4. Step 4: Simplify right side
    17,875.69x = 537,719,575.86
  5. Step 5: Solve for x
    x = 537,719,575.86/17,875.69
  6. Step 6: Final answer
    x = 30,081.06

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.