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Finding the Third Proportional to 8,028 and 12,610

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Solution

The third proportional to 8,028 and 12,610 is: 19,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028 : 12,610 = 12,610 : x
  2. Step 2: Convert to fraction form
    8,028/12,610 = 12,610/x
  3. Step 3: Cross multiply
    8,028x = 12,610 × 12,610
  4. Step 4: Simplify right side
    8,028x = 159,012,100
  5. Step 5: Solve for x
    x = 159,012,100/8,028
  6. Step 6: Final answer
    x = 19,807.19

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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.