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Finding the Third Proportional to 10,225 and 16,309.50

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Solution

The third proportional to 10,225 and 16,309.50 is: 26,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225 : 16,309.50 = 16,309.50 : x
  2. Step 2: Convert to fraction form
    10,225/16,309.50 = 16,309.50/x
  3. Step 3: Cross multiply
    10,225x = 16,309.50 × 16,309.50
  4. Step 4: Simplify right side
    10,225x = 265,999,790.25
  5. Step 5: Solve for x
    x = 265,999,790.25/10,225
  6. Step 6: Final answer
    x = 26,014.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.