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Finding the Third Proportional to 14,215.50 and 21,098.25

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Solution

The third proportional to 14,215.50 and 21,098.25 is: 31,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215.50 : 21,098.25 = 21,098.25 : x
  2. Step 2: Convert to fraction form
    14,215.50/21,098.25 = 21,098.25/x
  3. Step 3: Cross multiply
    14,215.50x = 21,098.25 × 21,098.25
  4. Step 4: Simplify right side
    14,215.50x = 445,136,153.06
  5. Step 5: Solve for x
    x = 445,136,153.06/14,215.50
  6. Step 6: Final answer
    x = 31,313.44

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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.