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Finding the Third Proportional to 21,854 and 32,963

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Solution

The third proportional to 21,854 and 32,963 is: 49,719.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854 : 32,963 = 32,963 : x
  2. Step 2: Convert to fraction form
    21,854/32,963 = 32,963/x
  3. Step 3: Cross multiply
    21,854x = 32,963 × 32,963
  4. Step 4: Simplify right side
    21,854x = 1,086,559,369
  5. Step 5: Solve for x
    x = 1,086,559,369/21,854
  6. Step 6: Final answer
    x = 49,719.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.