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Finding the Third Proportional to 25,930 and 56,881

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Solution

The third proportional to 25,930 and 56,881 is: 124,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,930 : 56,881 = 56,881 : x
  2. Step 2: Convert to fraction form
    25,930/56,881 = 56,881/x
  3. Step 3: Cross multiply
    25,930x = 56,881 × 56,881
  4. Step 4: Simplify right side
    25,930x = 3,235,448,161
  5. Step 5: Solve for x
    x = 3,235,448,161/25,930
  6. Step 6: Final answer
    x = 124,776.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.