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Finding the Third Proportional to 49,047 and 75,930

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Solution

The third proportional to 49,047 and 75,930 is: 117,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,047 : 75,930 = 75,930 : x
  2. Step 2: Convert to fraction form
    49,047/75,930 = 75,930/x
  3. Step 3: Cross multiply
    49,047x = 75,930 × 75,930
  4. Step 4: Simplify right side
    49,047x = 5,765,364,900
  5. Step 5: Solve for x
    x = 5,765,364,900/49,047
  6. Step 6: Final answer
    x = 117,547.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.