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Finding the Third Proportional to 25,970 and 56,093

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Solution

The third proportional to 25,970 and 56,093 is: 121,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970 : 56,093 = 56,093 : x
  2. Step 2: Convert to fraction form
    25,970/56,093 = 56,093/x
  3. Step 3: Cross multiply
    25,970x = 56,093 × 56,093
  4. Step 4: Simplify right side
    25,970x = 3,146,424,649
  5. Step 5: Solve for x
    x = 3,146,424,649/25,970
  6. Step 6: Final answer
    x = 121,156.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.