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Finding the Third Proportional to 10,650 and 16,672.50

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Solution

The third proportional to 10,650 and 16,672.50 is: 26,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650 : 16,672.50 = 16,672.50 : x
  2. Step 2: Convert to fraction form
    10,650/16,672.50 = 16,672.50/x
  3. Step 3: Cross multiply
    10,650x = 16,672.50 × 16,672.50
  4. Step 4: Simplify right side
    10,650x = 277,972,256.25
  5. Step 5: Solve for x
    x = 277,972,256.25/10,650
  6. Step 6: Final answer
    x = 26,100.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.