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Finding the Third Proportional to 7,685 and 16,582

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Solution

The third proportional to 7,685 and 16,582 is: 35,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685 : 16,582 = 16,582 : x
  2. Step 2: Convert to fraction form
    7,685/16,582 = 16,582/x
  3. Step 3: Cross multiply
    7,685x = 16,582 × 16,582
  4. Step 4: Simplify right side
    7,685x = 274,962,724
  5. Step 5: Solve for x
    x = 274,962,724/7,685
  6. Step 6: Final answer
    x = 35,779.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.