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Finding the Third Proportional to 29,082 and 44,730

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Solution

The third proportional to 29,082 and 44,730 is: 68,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082 : 44,730 = 44,730 : x
  2. Step 2: Convert to fraction form
    29,082/44,730 = 44,730/x
  3. Step 3: Cross multiply
    29,082x = 44,730 × 44,730
  4. Step 4: Simplify right side
    29,082x = 2,000,772,900
  5. Step 5: Solve for x
    x = 2,000,772,900/29,082
  6. Step 6: Final answer
    x = 68,797.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.