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Finding the Third Proportional to 14,337 and 21,262.50

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Solution

The third proportional to 14,337 and 21,262.50 is: 31,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337 : 21,262.50 = 21,262.50 : x
  2. Step 2: Convert to fraction form
    14,337/21,262.50 = 21,262.50/x
  3. Step 3: Cross multiply
    14,337x = 21,262.50 × 21,262.50
  4. Step 4: Simplify right side
    14,337x = 452,093,906.25
  5. Step 5: Solve for x
    x = 452,093,906.25/14,337
  6. Step 6: Final answer
    x = 31,533.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.