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Finding the Third Proportional to 28,982 and 61,077.25

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Solution

The third proportional to 28,982 and 61,077.25 is: 128,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,982 : 61,077.25 = 61,077.25 : x
  2. Step 2: Convert to fraction form
    28,982/61,077.25 = 61,077.25/x
  3. Step 3: Cross multiply
    28,982x = 61,077.25 × 61,077.25
  4. Step 4: Simplify right side
    28,982x = 3,730,430,467.56
  5. Step 5: Solve for x
    x = 3,730,430,467.56/28,982
  6. Step 6: Final answer
    x = 128,715.43

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.