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Finding the Third Proportional to 16,454 and 35,539

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Solution

The third proportional to 16,454 and 35,539 is: 76,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454 : 35,539 = 35,539 : x
  2. Step 2: Convert to fraction form
    16,454/35,539 = 35,539/x
  3. Step 3: Cross multiply
    16,454x = 35,539 × 35,539
  4. Step 4: Simplify right side
    16,454x = 1,263,020,521
  5. Step 5: Solve for x
    x = 1,263,020,521/16,454
  6. Step 6: Final answer
    x = 76,760.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.