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Finding the Third Proportional to 4,958 and 11,507

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Solution

The third proportional to 4,958 and 11,507 is: 26,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958 : 11,507 = 11,507 : x
  2. Step 2: Convert to fraction form
    4,958/11,507 = 11,507/x
  3. Step 3: Cross multiply
    4,958x = 11,507 × 11,507
  4. Step 4: Simplify right side
    4,958x = 132,411,049
  5. Step 5: Solve for x
    x = 132,411,049/4,958
  6. Step 6: Final answer
    x = 26,706.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.