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Finding the Third Proportional to 19,407.50 and 42,367

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Solution

The third proportional to 19,407.50 and 42,367 is: 92,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407.50 : 42,367 = 42,367 : x
  2. Step 2: Convert to fraction form
    19,407.50/42,367 = 42,367/x
  3. Step 3: Cross multiply
    19,407.50x = 42,367 × 42,367
  4. Step 4: Simplify right side
    19,407.50x = 1,794,962,689
  5. Step 5: Solve for x
    x = 1,794,962,689/19,407.50
  6. Step 6: Final answer
    x = 92,488.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.