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Finding the Third Proportional to 8,140 and 16,560

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Solution

The third proportional to 8,140 and 16,560 is: 33,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140 : 16,560 = 16,560 : x
  2. Step 2: Convert to fraction form
    8,140/16,560 = 16,560/x
  3. Step 3: Cross multiply
    8,140x = 16,560 × 16,560
  4. Step 4: Simplify right side
    8,140x = 274,233,600
  5. Step 5: Solve for x
    x = 274,233,600/8,140
  6. Step 6: Final answer
    x = 33,689.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.