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Finding the Third Proportional to 7,659 and 16,386

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Solution

The third proportional to 7,659 and 16,386 is: 35,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659 : 16,386 = 16,386 : x
  2. Step 2: Convert to fraction form
    7,659/16,386 = 16,386/x
  3. Step 3: Cross multiply
    7,659x = 16,386 × 16,386
  4. Step 4: Simplify right side
    7,659x = 268,500,996
  5. Step 5: Solve for x
    x = 268,500,996/7,659
  6. Step 6: Final answer
    x = 35,056.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.