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Finding the Third Proportional to 29,621.75 and 63,412.75

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Solution

The third proportional to 29,621.75 and 63,412.75 is: 135,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,621.75 : 63,412.75 = 63,412.75 : x
  2. Step 2: Convert to fraction form
    29,621.75/63,412.75 = 63,412.75/x
  3. Step 3: Cross multiply
    29,621.75x = 63,412.75 × 63,412.75
  4. Step 4: Simplify right side
    29,621.75x = 4,021,176,862.56
  5. Step 5: Solve for x
    x = 4,021,176,862.56/29,621.75
  6. Step 6: Final answer
    x = 135,750.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.