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Finding the Third Proportional to 6,434 and 15,590

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Solution

The third proportional to 6,434 and 15,590 is: 37,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 15,590 = 15,590 : x
  2. Step 2: Convert to fraction form
    6,434/15,590 = 15,590/x
  3. Step 3: Cross multiply
    6,434x = 15,590 × 15,590
  4. Step 4: Simplify right side
    6,434x = 243,048,100
  5. Step 5: Solve for x
    x = 243,048,100/6,434
  6. Step 6: Final answer
    x = 37,775.58

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.