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Finding the Third Proportional to 29,776.25 and 63,871

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Solution

The third proportional to 29,776.25 and 63,871 is: 137,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776.25 : 63,871 = 63,871 : x
  2. Step 2: Convert to fraction form
    29,776.25/63,871 = 63,871/x
  3. Step 3: Cross multiply
    29,776.25x = 63,871 × 63,871
  4. Step 4: Simplify right side
    29,776.25x = 4,079,504,641
  5. Step 5: Solve for x
    x = 4,079,504,641/29,776.25
  6. Step 6: Final answer
    x = 137,005.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.