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Finding the Third Proportional to 14,751 and 21,501

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Solution

The third proportional to 14,751 and 21,501 is: 31,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751 : 21,501 = 21,501 : x
  2. Step 2: Convert to fraction form
    14,751/21,501 = 21,501/x
  3. Step 3: Cross multiply
    14,751x = 21,501 × 21,501
  4. Step 4: Simplify right side
    14,751x = 462,293,001
  5. Step 5: Solve for x
    x = 462,293,001/14,751
  6. Step 6: Final answer
    x = 31,339.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.