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Finding the Third Proportional to 21,043 and 44,681

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Solution

The third proportional to 21,043 and 44,681 is: 94,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,043 : 44,681 = 44,681 : x
  2. Step 2: Convert to fraction form
    21,043/44,681 = 44,681/x
  3. Step 3: Cross multiply
    21,043x = 44,681 × 44,681
  4. Step 4: Simplify right side
    21,043x = 1,996,391,761
  5. Step 5: Solve for x
    x = 1,996,391,761/21,043
  6. Step 6: Final answer
    x = 94,872.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.