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Finding the Third Proportional to 19,036 and 30,416

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Solution

The third proportional to 19,036 and 30,416 is: 48,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,036 : 30,416 = 30,416 : x
  2. Step 2: Convert to fraction form
    19,036/30,416 = 30,416/x
  3. Step 3: Cross multiply
    19,036x = 30,416 × 30,416
  4. Step 4: Simplify right side
    19,036x = 925,133,056
  5. Step 5: Solve for x
    x = 925,133,056/19,036
  6. Step 6: Final answer
    x = 48,599.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.