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Finding the Third Proportional to 16,830 and 26,337

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Solution

The third proportional to 16,830 and 26,337 is: 41,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830 : 26,337 = 26,337 : x
  2. Step 2: Convert to fraction form
    16,830/26,337 = 26,337/x
  3. Step 3: Cross multiply
    16,830x = 26,337 × 26,337
  4. Step 4: Simplify right side
    16,830x = 693,637,569
  5. Step 5: Solve for x
    x = 693,637,569/16,830
  6. Step 6: Final answer
    x = 41,214.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.