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Finding the Third Proportional to 7,141 and 15,281

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Solution

The third proportional to 7,141 and 15,281 is: 32,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141 : 15,281 = 15,281 : x
  2. Step 2: Convert to fraction form
    7,141/15,281 = 15,281/x
  3. Step 3: Cross multiply
    7,141x = 15,281 × 15,281
  4. Step 4: Simplify right side
    7,141x = 233,508,961
  5. Step 5: Solve for x
    x = 233,508,961/7,141
  6. Step 6: Final answer
    x = 32,699.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.