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Finding the Third Proportional to 21,324 and 45,732

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Solution

The third proportional to 21,324 and 45,732 is: 98,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324 : 45,732 = 45,732 : x
  2. Step 2: Convert to fraction form
    21,324/45,732 = 45,732/x
  3. Step 3: Cross multiply
    21,324x = 45,732 × 45,732
  4. Step 4: Simplify right side
    21,324x = 2,091,415,824
  5. Step 5: Solve for x
    x = 2,091,415,824/21,324
  6. Step 6: Final answer
    x = 98,078.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.