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Finding the Third Proportional to 21,297 and 32,943

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Solution

The third proportional to 21,297 and 32,943 is: 50,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297 : 32,943 = 32,943 : x
  2. Step 2: Convert to fraction form
    21,297/32,943 = 32,943/x
  3. Step 3: Cross multiply
    21,297x = 32,943 × 32,943
  4. Step 4: Simplify right side
    21,297x = 1,085,241,249
  5. Step 5: Solve for x
    x = 1,085,241,249/21,297
  6. Step 6: Final answer
    x = 50,957.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.