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Finding the Third Proportional to 28,968 and 63,984

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Solution

The third proportional to 28,968 and 63,984 is: 141,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,968 : 63,984 = 63,984 : x
  2. Step 2: Convert to fraction form
    28,968/63,984 = 63,984/x
  3. Step 3: Cross multiply
    28,968x = 63,984 × 63,984
  4. Step 4: Simplify right side
    28,968x = 4,093,952,256
  5. Step 5: Solve for x
    x = 4,093,952,256/28,968
  6. Step 6: Final answer
    x = 141,326.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.