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Finding the Third Proportional to 36,457 and 79,772

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Solution

The third proportional to 36,457 and 79,772 is: 174,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,457 : 79,772 = 79,772 : x
  2. Step 2: Convert to fraction form
    36,457/79,772 = 79,772/x
  3. Step 3: Cross multiply
    36,457x = 79,772 × 79,772
  4. Step 4: Simplify right side
    36,457x = 6,363,571,984
  5. Step 5: Solve for x
    x = 6,363,571,984/36,457
  6. Step 6: Final answer
    x = 174,550.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.