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Finding the Third Proportional to 23,232 and 26,652

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Solution

The third proportional to 23,232 and 26,652 is: 30,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232 : 26,652 = 26,652 : x
  2. Step 2: Convert to fraction form
    23,232/26,652 = 26,652/x
  3. Step 3: Cross multiply
    23,232x = 26,652 × 26,652
  4. Step 4: Simplify right side
    23,232x = 710,329,104
  5. Step 5: Solve for x
    x = 710,329,104/23,232
  6. Step 6: Final answer
    x = 30,575.46

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.