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Finding the Third Proportional to 10,709.63 and 16,001.44

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Solution

The third proportional to 10,709.63 and 16,001.44 is: 23,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.63 : 16,001.44 = 16,001.44 : x
  2. Step 2: Convert to fraction form
    10,709.63/16,001.44 = 16,001.44/x
  3. Step 3: Cross multiply
    10,709.63x = 16,001.44 × 16,001.44
  4. Step 4: Simplify right side
    10,709.63x = 256,046,002.07
  5. Step 5: Solve for x
    x = 256,046,002.07/10,709.63
  6. Step 6: Final answer
    x = 23,908.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.