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Finding the Third Proportional to 36,454 and 46,582

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Solution

The third proportional to 36,454 and 46,582 is: 59,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,454 : 46,582 = 46,582 : x
  2. Step 2: Convert to fraction form
    36,454/46,582 = 46,582/x
  3. Step 3: Cross multiply
    36,454x = 46,582 × 46,582
  4. Step 4: Simplify right side
    36,454x = 2,169,882,724
  5. Step 5: Solve for x
    x = 2,169,882,724/36,454
  6. Step 6: Final answer
    x = 59,523.86

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.