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Finding the Third Proportional to 6,610 and 10,280

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Solution

The third proportional to 6,610 and 10,280 is: 15,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610 : 10,280 = 10,280 : x
  2. Step 2: Convert to fraction form
    6,610/10,280 = 10,280/x
  3. Step 3: Cross multiply
    6,610x = 10,280 × 10,280
  4. Step 4: Simplify right side
    6,610x = 105,678,400
  5. Step 5: Solve for x
    x = 105,678,400/6,610
  6. Step 6: Final answer
    x = 15,987.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.