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Finding the Third Proportional to 14,951 and 32,533

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Solution

The third proportional to 14,951 and 32,533 is: 70,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951 : 32,533 = 32,533 : x
  2. Step 2: Convert to fraction form
    14,951/32,533 = 32,533/x
  3. Step 3: Cross multiply
    14,951x = 32,533 × 32,533
  4. Step 4: Simplify right side
    14,951x = 1,058,396,089
  5. Step 5: Solve for x
    x = 1,058,396,089/14,951
  6. Step 6: Final answer
    x = 70,790.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.