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Finding the Third Proportional to 28,966 and 63,564

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Solution

The third proportional to 28,966 and 63,564 is: 139,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,966 : 63,564 = 63,564 : x
  2. Step 2: Convert to fraction form
    28,966/63,564 = 63,564/x
  3. Step 3: Cross multiply
    28,966x = 63,564 × 63,564
  4. Step 4: Simplify right side
    28,966x = 4,040,382,096
  5. Step 5: Solve for x
    x = 4,040,382,096/28,966
  6. Step 6: Final answer
    x = 139,487.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.