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Finding the Third Proportional to 34,040 and 40,421

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Solution

The third proportional to 34,040 and 40,421 is: 47,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,040 : 40,421 = 40,421 : x
  2. Step 2: Convert to fraction form
    34,040/40,421 = 40,421/x
  3. Step 3: Cross multiply
    34,040x = 40,421 × 40,421
  4. Step 4: Simplify right side
    34,040x = 1,633,857,241
  5. Step 5: Solve for x
    x = 1,633,857,241/34,040
  6. Step 6: Final answer
    x = 47,998.16

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.