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Finding the Third Proportional to 25,966 and 57,773

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Solution

The third proportional to 25,966 and 57,773 is: 128,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,966 : 57,773 = 57,773 : x
  2. Step 2: Convert to fraction form
    25,966/57,773 = 57,773/x
  3. Step 3: Cross multiply
    25,966x = 57,773 × 57,773
  4. Step 4: Simplify right side
    25,966x = 3,337,719,529
  5. Step 5: Solve for x
    x = 3,337,719,529/25,966
  6. Step 6: Final answer
    x = 128,541.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.