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Finding the Third Proportional to 5,214 and 10,320

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Solution

The third proportional to 5,214 and 10,320 is: 20,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214 : 10,320 = 10,320 : x
  2. Step 2: Convert to fraction form
    5,214/10,320 = 10,320/x
  3. Step 3: Cross multiply
    5,214x = 10,320 × 10,320
  4. Step 4: Simplify right side
    5,214x = 106,502,400
  5. Step 5: Solve for x
    x = 106,502,400/5,214
  6. Step 6: Final answer
    x = 20,426.24

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.