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Finding the Third Proportional to 4,657 and 9,958

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Solution

The third proportional to 4,657 and 9,958 is: 21,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657 : 9,958 = 9,958 : x
  2. Step 2: Convert to fraction form
    4,657/9,958 = 9,958/x
  3. Step 3: Cross multiply
    4,657x = 9,958 × 9,958
  4. Step 4: Simplify right side
    4,657x = 99,161,764
  5. Step 5: Solve for x
    x = 99,161,764/4,657
  6. Step 6: Final answer
    x = 21,293.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.