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Finding the Third Proportional to 26,234 and 39,495

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Solution

The third proportional to 26,234 and 39,495 is: 59,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,234 : 39,495 = 39,495 : x
  2. Step 2: Convert to fraction form
    26,234/39,495 = 39,495/x
  3. Step 3: Cross multiply
    26,234x = 39,495 × 39,495
  4. Step 4: Simplify right side
    26,234x = 1,559,855,025
  5. Step 5: Solve for x
    x = 1,559,855,025/26,234
  6. Step 6: Final answer
    x = 59,459.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.