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Finding the Third Proportional to 29,706.75 and 63,423

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Solution

The third proportional to 29,706.75 and 63,423 is: 135,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.75 : 63,423 = 63,423 : x
  2. Step 2: Convert to fraction form
    29,706.75/63,423 = 63,423/x
  3. Step 3: Cross multiply
    29,706.75x = 63,423 × 63,423
  4. Step 4: Simplify right side
    29,706.75x = 4,022,476,929
  5. Step 5: Solve for x
    x = 4,022,476,929/29,706.75
  6. Step 6: Final answer
    x = 135,406.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.