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Finding the Third Proportional to 25,974 and 56,484

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Solution

The third proportional to 25,974 and 56,484 is: 122,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,974 : 56,484 = 56,484 : x
  2. Step 2: Convert to fraction form
    25,974/56,484 = 56,484/x
  3. Step 3: Cross multiply
    25,974x = 56,484 × 56,484
  4. Step 4: Simplify right side
    25,974x = 3,190,442,256
  5. Step 5: Solve for x
    x = 3,190,442,256/25,974
  6. Step 6: Final answer
    x = 122,832.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.