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Finding the Third Proportional to 11,553 and 16,519.50

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Solution

The third proportional to 11,553 and 16,519.50 is: 23,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553 : 16,519.50 = 16,519.50 : x
  2. Step 2: Convert to fraction form
    11,553/16,519.50 = 16,519.50/x
  3. Step 3: Cross multiply
    11,553x = 16,519.50 × 16,519.50
  4. Step 4: Simplify right side
    11,553x = 272,893,880.25
  5. Step 5: Solve for x
    x = 272,893,880.25/11,553
  6. Step 6: Final answer
    x = 23,621.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.