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Finding the Third Proportional to 29,789 and 65,482

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Solution

The third proportional to 29,789 and 65,482 is: 143,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,789 : 65,482 = 65,482 : x
  2. Step 2: Convert to fraction form
    29,789/65,482 = 65,482/x
  3. Step 3: Cross multiply
    29,789x = 65,482 × 65,482
  4. Step 4: Simplify right side
    29,789x = 4,287,892,324
  5. Step 5: Solve for x
    x = 4,287,892,324/29,789
  6. Step 6: Final answer
    x = 143,942.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.