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Finding the Third Proportional to 14,472 and 21,211.50

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Solution

The third proportional to 14,472 and 21,211.50 is: 31,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472 : 21,211.50 = 21,211.50 : x
  2. Step 2: Convert to fraction form
    14,472/21,211.50 = 21,211.50/x
  3. Step 3: Cross multiply
    14,472x = 21,211.50 × 21,211.50
  4. Step 4: Simplify right side
    14,472x = 449,927,732.25
  5. Step 5: Solve for x
    x = 449,927,732.25/14,472
  6. Step 6: Final answer
    x = 31,089.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.