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Finding the Third Proportional to 19,117.75 and 30,367

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Solution

The third proportional to 19,117.75 and 30,367 is: 48,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,117.75 : 30,367 = 30,367 : x
  2. Step 2: Convert to fraction form
    19,117.75/30,367 = 30,367/x
  3. Step 3: Cross multiply
    19,117.75x = 30,367 × 30,367
  4. Step 4: Simplify right side
    19,117.75x = 922,154,689
  5. Step 5: Solve for x
    x = 922,154,689/19,117.75
  6. Step 6: Final answer
    x = 48,235.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.