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Finding the Third Proportional to 9,274.34 and 21,871.10

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Solution

The third proportional to 9,274.34 and 21,871.10 is: 51,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.34 : 21,871.10 = 21,871.10 : x
  2. Step 2: Convert to fraction form
    9,274.34/21,871.10 = 21,871.10/x
  3. Step 3: Cross multiply
    9,274.34x = 21,871.10 × 21,871.10
  4. Step 4: Simplify right side
    9,274.34x = 478,345,083.56
  5. Step 5: Solve for x
    x = 478,345,083.56/9,274.34
  6. Step 6: Final answer
    x = 51,577.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.