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Finding the Third Proportional to 4,658 and 5,042

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Solution

The third proportional to 4,658 and 5,042 is: 5,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 5,042 = 5,042 : x
  2. Step 2: Convert to fraction form
    4,658/5,042 = 5,042/x
  3. Step 3: Cross multiply
    4,658x = 5,042 × 5,042
  4. Step 4: Simplify right side
    4,658x = 25,421,764
  5. Step 5: Solve for x
    x = 25,421,764/4,658
  6. Step 6: Final answer
    x = 5,457.66

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.