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Finding the Third Proportional to 29,034 and 40,886.25

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Solution

The third proportional to 29,034 and 40,886.25 is: 57,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,034 : 40,886.25 = 40,886.25 : x
  2. Step 2: Convert to fraction form
    29,034/40,886.25 = 40,886.25/x
  3. Step 3: Cross multiply
    29,034x = 40,886.25 × 40,886.25
  4. Step 4: Simplify right side
    29,034x = 1,671,685,439.06
  5. Step 5: Solve for x
    x = 1,671,685,439.06/29,034
  6. Step 6: Final answer
    x = 57,576.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.