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Finding the Third Proportional to 25,964 and 57,769

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Solution

The third proportional to 25,964 and 57,769 is: 128,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,964 : 57,769 = 57,769 : x
  2. Step 2: Convert to fraction form
    25,964/57,769 = 57,769/x
  3. Step 3: Cross multiply
    25,964x = 57,769 × 57,769
  4. Step 4: Simplify right side
    25,964x = 3,337,257,361
  5. Step 5: Solve for x
    x = 3,337,257,361/25,964
  6. Step 6: Final answer
    x = 128,534.02

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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.