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Finding the Third Proportional to 14,913 and 32,631

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Solution

The third proportional to 14,913 and 32,631 is: 71,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913 : 32,631 = 32,631 : x
  2. Step 2: Convert to fraction form
    14,913/32,631 = 32,631/x
  3. Step 3: Cross multiply
    14,913x = 32,631 × 32,631
  4. Step 4: Simplify right side
    14,913x = 1,064,782,161
  5. Step 5: Solve for x
    x = 1,064,782,161/14,913
  6. Step 6: Final answer
    x = 71,399.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.