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Finding the Third Proportional to 7,462 and 13,258

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Solution

The third proportional to 7,462 and 13,258 is: 23,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462 : 13,258 = 13,258 : x
  2. Step 2: Convert to fraction form
    7,462/13,258 = 13,258/x
  3. Step 3: Cross multiply
    7,462x = 13,258 × 13,258
  4. Step 4: Simplify right side
    7,462x = 175,774,564
  5. Step 5: Solve for x
    x = 175,774,564/7,462
  6. Step 6: Final answer
    x = 23,555.96

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.