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Finding the Third Proportional to 8,026.50 and 10,652.25

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Solution

The third proportional to 8,026.50 and 10,652.25 is: 14,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.50 : 10,652.25 = 10,652.25 : x
  2. Step 2: Convert to fraction form
    8,026.50/10,652.25 = 10,652.25/x
  3. Step 3: Cross multiply
    8,026.50x = 10,652.25 × 10,652.25
  4. Step 4: Simplify right side
    8,026.50x = 113,470,430.06
  5. Step 5: Solve for x
    x = 113,470,430.06/8,026.50
  6. Step 6: Final answer
    x = 14,136.98

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.