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Finding the Third Proportional to 41,080 and 61,914

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Solution

The third proportional to 41,080 and 61,914 is: 93,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,080 : 61,914 = 61,914 : x
  2. Step 2: Convert to fraction form
    41,080/61,914 = 61,914/x
  3. Step 3: Cross multiply
    41,080x = 61,914 × 61,914
  4. Step 4: Simplify right side
    41,080x = 3,833,343,396
  5. Step 5: Solve for x
    x = 3,833,343,396/41,080
  6. Step 6: Final answer
    x = 93,314.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.