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Finding the Third Proportional to 10,712 and 23,328

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Solution

The third proportional to 10,712 and 23,328 is: 50,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712 : 23,328 = 23,328 : x
  2. Step 2: Convert to fraction form
    10,712/23,328 = 23,328/x
  3. Step 3: Cross multiply
    10,712x = 23,328 × 23,328
  4. Step 4: Simplify right side
    10,712x = 544,195,584
  5. Step 5: Solve for x
    x = 544,195,584/10,712
  6. Step 6: Final answer
    x = 50,802.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.