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Finding the Third Proportional to 25,641 and 52,560

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Solution

The third proportional to 25,641 and 52,560 is: 107,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641 : 52,560 = 52,560 : x
  2. Step 2: Convert to fraction form
    25,641/52,560 = 52,560/x
  3. Step 3: Cross multiply
    25,641x = 52,560 × 52,560
  4. Step 4: Simplify right side
    25,641x = 2,762,553,600
  5. Step 5: Solve for x
    x = 2,762,553,600/25,641
  6. Step 6: Final answer
    x = 107,739.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.