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Finding the Third Proportional to 24,641 and 51,032

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Solution

The third proportional to 24,641 and 51,032 is: 105,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641 : 51,032 = 51,032 : x
  2. Step 2: Convert to fraction form
    24,641/51,032 = 51,032/x
  3. Step 3: Cross multiply
    24,641x = 51,032 × 51,032
  4. Step 4: Simplify right side
    24,641x = 2,604,265,024
  5. Step 5: Solve for x
    x = 2,604,265,024/24,641
  6. Step 6: Final answer
    x = 105,688.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.