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Finding the Third Proportional to 13,410 and 16,258

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Solution

The third proportional to 13,410 and 16,258 is: 19,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410 : 16,258 = 16,258 : x
  2. Step 2: Convert to fraction form
    13,410/16,258 = 16,258/x
  3. Step 3: Cross multiply
    13,410x = 16,258 × 16,258
  4. Step 4: Simplify right side
    13,410x = 264,322,564
  5. Step 5: Solve for x
    x = 264,322,564/13,410
  6. Step 6: Final answer
    x = 19,710.85

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.