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Finding the Third Proportional to 46,897 and 95,530

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Solution

The third proportional to 46,897 and 95,530 is: 194,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,897 : 95,530 = 95,530 : x
  2. Step 2: Convert to fraction form
    46,897/95,530 = 95,530/x
  3. Step 3: Cross multiply
    46,897x = 95,530 × 95,530
  4. Step 4: Simplify right side
    46,897x = 9,125,980,900
  5. Step 5: Solve for x
    x = 9,125,980,900/46,897
  6. Step 6: Final answer
    x = 194,596.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.