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Finding the Third Proportional to 30,171 and 38,326.50

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Solution

The third proportional to 30,171 and 38,326.50 is: 48,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,171 : 38,326.50 = 38,326.50 : x
  2. Step 2: Convert to fraction form
    30,171/38,326.50 = 38,326.50/x
  3. Step 3: Cross multiply
    30,171x = 38,326.50 × 38,326.50
  4. Step 4: Simplify right side
    30,171x = 1,468,920,602.25
  5. Step 5: Solve for x
    x = 1,468,920,602.25/30,171
  6. Step 6: Final answer
    x = 48,686.51

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.