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Finding the Third Proportional to 29,683.97 and 42,669.28

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Solution

The third proportional to 29,683.97 and 42,669.28 is: 61,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.97 : 42,669.28 = 42,669.28 : x
  2. Step 2: Convert to fraction form
    29,683.97/42,669.28 = 42,669.28/x
  3. Step 3: Cross multiply
    29,683.97x = 42,669.28 × 42,669.28
  4. Step 4: Simplify right side
    29,683.97x = 1,820,667,562.39
  5. Step 5: Solve for x
    x = 1,820,667,562.39/29,683.97
  6. Step 6: Final answer
    x = 61,335.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.