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Finding the Third Proportional to 15,141 and 32,298

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Solution

The third proportional to 15,141 and 32,298 is: 68,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141 : 32,298 = 32,298 : x
  2. Step 2: Convert to fraction form
    15,141/32,298 = 32,298/x
  3. Step 3: Cross multiply
    15,141x = 32,298 × 32,298
  4. Step 4: Simplify right side
    15,141x = 1,043,160,804
  5. Step 5: Solve for x
    x = 1,043,160,804/15,141
  6. Step 6: Final answer
    x = 68,896.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.