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Finding the Third Proportional to 19,106.50 and 30,953

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Solution

The third proportional to 19,106.50 and 30,953 is: 50,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,106.50 : 30,953 = 30,953 : x
  2. Step 2: Convert to fraction form
    19,106.50/30,953 = 30,953/x
  3. Step 3: Cross multiply
    19,106.50x = 30,953 × 30,953
  4. Step 4: Simplify right side
    19,106.50x = 958,088,209
  5. Step 5: Solve for x
    x = 958,088,209/19,106.50
  6. Step 6: Final answer
    x = 50,144.62

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.