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Finding the Third Proportional to 7,940 and 19,202

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Solution

The third proportional to 7,940 and 19,202 is: 46,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940 : 19,202 = 19,202 : x
  2. Step 2: Convert to fraction form
    7,940/19,202 = 19,202/x
  3. Step 3: Cross multiply
    7,940x = 19,202 × 19,202
  4. Step 4: Simplify right side
    7,940x = 368,716,804
  5. Step 5: Solve for x
    x = 368,716,804/7,940
  6. Step 6: Final answer
    x = 46,437.88

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.