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Finding the Third Proportional to 7,951 and 18,482.75

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Solution

The third proportional to 7,951 and 18,482.75 is: 42,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951 : 18,482.75 = 18,482.75 : x
  2. Step 2: Convert to fraction form
    7,951/18,482.75 = 18,482.75/x
  3. Step 3: Cross multiply
    7,951x = 18,482.75 × 18,482.75
  4. Step 4: Simplify right side
    7,951x = 341,612,047.56
  5. Step 5: Solve for x
    x = 341,612,047.56/7,951
  6. Step 6: Final answer
    x = 42,964.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.