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Finding the Third Proportional to 26,459 and 39,685

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Solution

The third proportional to 26,459 and 39,685 is: 59,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,459 : 39,685 = 39,685 : x
  2. Step 2: Convert to fraction form
    26,459/39,685 = 39,685/x
  3. Step 3: Cross multiply
    26,459x = 39,685 × 39,685
  4. Step 4: Simplify right side
    26,459x = 1,574,899,225
  5. Step 5: Solve for x
    x = 1,574,899,225/26,459
  6. Step 6: Final answer
    x = 59,522.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.