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Finding the Third Proportional to 4,634 and 5,090

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Solution

The third proportional to 4,634 and 5,090 is: 5,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634 : 5,090 = 5,090 : x
  2. Step 2: Convert to fraction form
    4,634/5,090 = 5,090/x
  3. Step 3: Cross multiply
    4,634x = 5,090 × 5,090
  4. Step 4: Simplify right side
    4,634x = 25,908,100
  5. Step 5: Solve for x
    x = 25,908,100/4,634
  6. Step 6: Final answer
    x = 5,590.87

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.