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Finding the Third Proportional to 7,574 and 16,421

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Solution

The third proportional to 7,574 and 16,421 is: 35,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574 : 16,421 = 16,421 : x
  2. Step 2: Convert to fraction form
    7,574/16,421 = 16,421/x
  3. Step 3: Cross multiply
    7,574x = 16,421 × 16,421
  4. Step 4: Simplify right side
    7,574x = 269,649,241
  5. Step 5: Solve for x
    x = 269,649,241/7,574
  6. Step 6: Final answer
    x = 35,601.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.