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Finding the Third Proportional to 29,594 and 63,400

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Solution

The third proportional to 29,594 and 63,400 is: 135,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594 : 63,400 = 63,400 : x
  2. Step 2: Convert to fraction form
    29,594/63,400 = 63,400/x
  3. Step 3: Cross multiply
    29,594x = 63,400 × 63,400
  4. Step 4: Simplify right side
    29,594x = 4,019,560,000
  5. Step 5: Solve for x
    x = 4,019,560,000/29,594
  6. Step 6: Final answer
    x = 135,823.48

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Why These Related Problems?

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