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Finding the Third Proportional to 19,034 and 30,313

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Solution

The third proportional to 19,034 and 30,313 is: 48,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,034 : 30,313 = 30,313 : x
  2. Step 2: Convert to fraction form
    19,034/30,313 = 30,313/x
  3. Step 3: Cross multiply
    19,034x = 30,313 × 30,313
  4. Step 4: Simplify right side
    19,034x = 918,877,969
  5. Step 5: Solve for x
    x = 918,877,969/19,034
  6. Step 6: Final answer
    x = 48,275.61

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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.