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Finding the Third Proportional to 10,660.50 and 16,602.75

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Solution

The third proportional to 10,660.50 and 16,602.75 is: 25,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.50 : 16,602.75 = 16,602.75 : x
  2. Step 2: Convert to fraction form
    10,660.50/16,602.75 = 16,602.75/x
  3. Step 3: Cross multiply
    10,660.50x = 16,602.75 × 16,602.75
  4. Step 4: Simplify right side
    10,660.50x = 275,651,307.56
  5. Step 5: Solve for x
    x = 275,651,307.56/10,660.50
  6. Step 6: Final answer
    x = 25,857.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.