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Finding the Third Proportional to 15,232 and 23,298

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Solution

The third proportional to 15,232 and 23,298 is: 35,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232 : 23,298 = 23,298 : x
  2. Step 2: Convert to fraction form
    15,232/23,298 = 23,298/x
  3. Step 3: Cross multiply
    15,232x = 23,298 × 23,298
  4. Step 4: Simplify right side
    15,232x = 542,796,804
  5. Step 5: Solve for x
    x = 542,796,804/15,232
  6. Step 6: Final answer
    x = 35,635.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.