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Finding the Third Proportional to 28,982 and 63,505

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Solution

The third proportional to 28,982 and 63,505 is: 139,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,982 : 63,505 = 63,505 : x
  2. Step 2: Convert to fraction form
    28,982/63,505 = 63,505/x
  3. Step 3: Cross multiply
    28,982x = 63,505 × 63,505
  4. Step 4: Simplify right side
    28,982x = 4,032,885,025
  5. Step 5: Solve for x
    x = 4,032,885,025/28,982
  6. Step 6: Final answer
    x = 139,151.37

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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.