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Finding the Third Proportional to 25,412 and 52,560

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Solution

The third proportional to 25,412 and 52,560 is: 108,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412 : 52,560 = 52,560 : x
  2. Step 2: Convert to fraction form
    25,412/52,560 = 52,560/x
  3. Step 3: Cross multiply
    25,412x = 52,560 × 52,560
  4. Step 4: Simplify right side
    25,412x = 2,762,553,600
  5. Step 5: Solve for x
    x = 2,762,553,600/25,412
  6. Step 6: Final answer
    x = 108,710.59

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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.