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Finding the Third Proportional to 29,621.32 and 63,411.61

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Solution

The third proportional to 29,621.32 and 63,411.61 is: 135,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,621.32 : 63,411.61 = 63,411.61 : x
  2. Step 2: Convert to fraction form
    29,621.32/63,411.61 = 63,411.61/x
  3. Step 3: Cross multiply
    29,621.32x = 63,411.61 × 63,411.61
  4. Step 4: Simplify right side
    29,621.32x = 4,021,032,203.53
  5. Step 5: Solve for x
    x = 4,021,032,203.53/29,621.32
  6. Step 6: Final answer
    x = 135,747.91

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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.