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Finding the Third Proportional to 10,700 and 25,780

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Solution

The third proportional to 10,700 and 25,780 is: 62,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700 : 25,780 = 25,780 : x
  2. Step 2: Convert to fraction form
    10,700/25,780 = 25,780/x
  3. Step 3: Cross multiply
    10,700x = 25,780 × 25,780
  4. Step 4: Simplify right side
    10,700x = 664,608,400
  5. Step 5: Solve for x
    x = 664,608,400/10,700
  6. Step 6: Final answer
    x = 62,112.93

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.