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Finding the Third Proportional to 4,658 and 6,515

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Solution

The third proportional to 4,658 and 6,515 is: 9,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 6,515 = 6,515 : x
  2. Step 2: Convert to fraction form
    4,658/6,515 = 6,515/x
  3. Step 3: Cross multiply
    4,658x = 6,515 × 6,515
  4. Step 4: Simplify right side
    4,658x = 42,445,225
  5. Step 5: Solve for x
    x = 42,445,225/4,658
  6. Step 6: Final answer
    x = 9,112.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.