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Finding the Third Proportional to 19,495 and 30,225

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Solution

The third proportional to 19,495 and 30,225 is: 46,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,495 : 30,225 = 30,225 : x
  2. Step 2: Convert to fraction form
    19,495/30,225 = 30,225/x
  3. Step 3: Cross multiply
    19,495x = 30,225 × 30,225
  4. Step 4: Simplify right side
    19,495x = 913,550,625
  5. Step 5: Solve for x
    x = 913,550,625/19,495
  6. Step 6: Final answer
    x = 46,860.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.