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Finding the Third Proportional to 29,618.16 and 63,977.34

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Solution

The third proportional to 29,618.16 and 63,977.34 is: 138,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,618.16 : 63,977.34 = 63,977.34 : x
  2. Step 2: Convert to fraction form
    29,618.16/63,977.34 = 63,977.34/x
  3. Step 3: Cross multiply
    29,618.16x = 63,977.34 × 63,977.34
  4. Step 4: Simplify right side
    29,618.16x = 4,093,100,513.31
  5. Step 5: Solve for x
    x = 4,093,100,513.31/29,618.16
  6. Step 6: Final answer
    x = 138,195.66

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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.