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Finding the Third Proportional to 29,616 and 63,984

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Solution

The third proportional to 29,616 and 63,984 is: 138,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,616 : 63,984 = 63,984 : x
  2. Step 2: Convert to fraction form
    29,616/63,984 = 63,984/x
  3. Step 3: Cross multiply
    29,616x = 63,984 × 63,984
  4. Step 4: Simplify right side
    29,616x = 4,093,952,256
  5. Step 5: Solve for x
    x = 4,093,952,256/29,616
  6. Step 6: Final answer
    x = 138,234.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.