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Finding the Third Proportional to 10,420 and 16,598

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Solution

The third proportional to 10,420 and 16,598 is: 26,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420 : 16,598 = 16,598 : x
  2. Step 2: Convert to fraction form
    10,420/16,598 = 16,598/x
  3. Step 3: Cross multiply
    10,420x = 16,598 × 16,598
  4. Step 4: Simplify right side
    10,420x = 275,493,604
  5. Step 5: Solve for x
    x = 275,493,604/10,420
  6. Step 6: Final answer
    x = 26,438.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.