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Finding the Third Proportional to 6,966 and 15,090

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Solution

The third proportional to 6,966 and 15,090 is: 32,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 15,090 = 15,090 : x
  2. Step 2: Convert to fraction form
    6,966/15,090 = 15,090/x
  3. Step 3: Cross multiply
    6,966x = 15,090 × 15,090
  4. Step 4: Simplify right side
    6,966x = 227,708,100
  5. Step 5: Solve for x
    x = 227,708,100/6,966
  6. Step 6: Final answer
    x = 32,688.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.