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Finding the Third Proportional to 10,784 and 14,220

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Solution

The third proportional to 10,784 and 14,220 is: 18,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784 : 14,220 = 14,220 : x
  2. Step 2: Convert to fraction form
    10,784/14,220 = 14,220/x
  3. Step 3: Cross multiply
    10,784x = 14,220 × 14,220
  4. Step 4: Simplify right side
    10,784x = 202,208,400
  5. Step 5: Solve for x
    x = 202,208,400/10,784
  6. Step 6: Final answer
    x = 18,750.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.