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Finding the Third Proportional to 14,588 and 22,631

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Solution

The third proportional to 14,588 and 22,631 is: 35,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588 : 22,631 = 22,631 : x
  2. Step 2: Convert to fraction form
    14,588/22,631 = 22,631/x
  3. Step 3: Cross multiply
    14,588x = 22,631 × 22,631
  4. Step 4: Simplify right side
    14,588x = 512,162,161
  5. Step 5: Solve for x
    x = 512,162,161/14,588
  6. Step 6: Final answer
    x = 35,108.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.