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Finding the Third Proportional to 16,542 and 31,410

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Solution

The third proportional to 16,542 and 31,410 is: 59,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542 : 31,410 = 31,410 : x
  2. Step 2: Convert to fraction form
    16,542/31,410 = 31,410/x
  3. Step 3: Cross multiply
    16,542x = 31,410 × 31,410
  4. Step 4: Simplify right side
    16,542x = 986,588,100
  5. Step 5: Solve for x
    x = 986,588,100/16,542
  6. Step 6: Final answer
    x = 59,641.40

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.