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Finding the Third Proportional to 29,870 and 40,590

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Solution

The third proportional to 29,870 and 40,590 is: 55,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,870 : 40,590 = 40,590 : x
  2. Step 2: Convert to fraction form
    29,870/40,590 = 40,590/x
  3. Step 3: Cross multiply
    29,870x = 40,590 × 40,590
  4. Step 4: Simplify right side
    29,870x = 1,647,548,100
  5. Step 5: Solve for x
    x = 1,647,548,100/29,870
  6. Step 6: Final answer
    x = 55,157.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.