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Finding the Third Proportional to 16,459 and 26,506

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Solution

The third proportional to 16,459 and 26,506 is: 42,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459 : 26,506 = 26,506 : x
  2. Step 2: Convert to fraction form
    16,459/26,506 = 26,506/x
  3. Step 3: Cross multiply
    16,459x = 26,506 × 26,506
  4. Step 4: Simplify right side
    16,459x = 702,568,036
  5. Step 5: Solve for x
    x = 702,568,036/16,459
  6. Step 6: Final answer
    x = 42,685.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.