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Finding the Third Proportional to 29,596 and 45,000

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Solution

The third proportional to 29,596 and 45,000 is: 68,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596 : 45,000 = 45,000 : x
  2. Step 2: Convert to fraction form
    29,596/45,000 = 45,000/x
  3. Step 3: Cross multiply
    29,596x = 45,000 × 45,000
  4. Step 4: Simplify right side
    29,596x = 2,025,000,000
  5. Step 5: Solve for x
    x = 2,025,000,000/29,596
  6. Step 6: Final answer
    x = 68,421.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.