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Finding the Third Proportional to 16,356 and 34,658

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Solution

The third proportional to 16,356 and 34,658 is: 73,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356 : 34,658 = 34,658 : x
  2. Step 2: Convert to fraction form
    16,356/34,658 = 34,658/x
  3. Step 3: Cross multiply
    16,356x = 34,658 × 34,658
  4. Step 4: Simplify right side
    16,356x = 1,201,176,964
  5. Step 5: Solve for x
    x = 1,201,176,964/16,356
  6. Step 6: Final answer
    x = 73,439.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.