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Finding the Third Proportional to 15,457.50 and 33,831

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Solution

The third proportional to 15,457.50 and 33,831 is: 74,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,457.50 : 33,831 = 33,831 : x
  2. Step 2: Convert to fraction form
    15,457.50/33,831 = 33,831/x
  3. Step 3: Cross multiply
    15,457.50x = 33,831 × 33,831
  4. Step 4: Simplify right side
    15,457.50x = 1,144,536,561
  5. Step 5: Solve for x
    x = 1,144,536,561/15,457.50
  6. Step 6: Final answer
    x = 74,044.09

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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.