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Finding the Third Proportional to 19,021.50 and 40,959

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Solution

The third proportional to 19,021.50 and 40,959 is: 88,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,021.50 : 40,959 = 40,959 : x
  2. Step 2: Convert to fraction form
    19,021.50/40,959 = 40,959/x
  3. Step 3: Cross multiply
    19,021.50x = 40,959 × 40,959
  4. Step 4: Simplify right side
    19,021.50x = 1,677,639,681
  5. Step 5: Solve for x
    x = 1,677,639,681/19,021.50
  6. Step 6: Final answer
    x = 88,197.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.