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Finding the Third Proportional to 29,428.25 and 44,822.38

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Solution

The third proportional to 29,428.25 and 44,822.38 is: 68,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,428.25 : 44,822.38 = 44,822.38 : x
  2. Step 2: Convert to fraction form
    29,428.25/44,822.38 = 44,822.38/x
  3. Step 3: Cross multiply
    29,428.25x = 44,822.38 × 44,822.38
  4. Step 4: Simplify right side
    29,428.25x = 2,009,045,300.64
  5. Step 5: Solve for x
    x = 2,009,045,300.64/29,428.25
  6. Step 6: Final answer
    x = 68,269.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.