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Finding the Third Proportional to 7,014 and 15,090

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Solution

The third proportional to 7,014 and 15,090 is: 32,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 15,090 = 15,090 : x
  2. Step 2: Convert to fraction form
    7,014/15,090 = 15,090/x
  3. Step 3: Cross multiply
    7,014x = 15,090 × 15,090
  4. Step 4: Simplify right side
    7,014x = 227,708,100
  5. Step 5: Solve for x
    x = 227,708,100/7,014
  6. Step 6: Final answer
    x = 32,464.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.