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Finding the Third Proportional to 46,953 and 63,949

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Solution

The third proportional to 46,953 and 63,949 is: 87,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,953 : 63,949 = 63,949 : x
  2. Step 2: Convert to fraction form
    46,953/63,949 = 63,949/x
  3. Step 3: Cross multiply
    46,953x = 63,949 × 63,949
  4. Step 4: Simplify right side
    46,953x = 4,089,474,601
  5. Step 5: Solve for x
    x = 4,089,474,601/46,953
  6. Step 6: Final answer
    x = 87,097.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.