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Finding the Third Proportional to 8,784 and 16,323

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Solution

The third proportional to 8,784 and 16,323 is: 30,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784 : 16,323 = 16,323 : x
  2. Step 2: Convert to fraction form
    8,784/16,323 = 16,323/x
  3. Step 3: Cross multiply
    8,784x = 16,323 × 16,323
  4. Step 4: Simplify right side
    8,784x = 266,440,329
  5. Step 5: Solve for x
    x = 266,440,329/8,784
  6. Step 6: Final answer
    x = 30,332.46

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.