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Finding the Third Proportional to 7,142 and 13,228

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Solution

The third proportional to 7,142 and 13,228 is: 24,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142 : 13,228 = 13,228 : x
  2. Step 2: Convert to fraction form
    7,142/13,228 = 13,228/x
  3. Step 3: Cross multiply
    7,142x = 13,228 × 13,228
  4. Step 4: Simplify right side
    7,142x = 174,979,984
  5. Step 5: Solve for x
    x = 174,979,984/7,142
  6. Step 6: Final answer
    x = 24,500.14

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.