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Finding the Third Proportional to 29,034 and 40,886.44

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Solution

The third proportional to 29,034 and 40,886.44 is: 57,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,034 : 40,886.44 = 40,886.44 : x
  2. Step 2: Convert to fraction form
    29,034/40,886.44 = 40,886.44/x
  3. Step 3: Cross multiply
    29,034x = 40,886.44 × 40,886.44
  4. Step 4: Simplify right side
    29,034x = 1,671,700,771.44
  5. Step 5: Solve for x
    x = 1,671,700,771.44/29,034
  6. Step 6: Final answer
    x = 57,577.35

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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.