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Finding the Third Proportional to 25,730 and 40,899

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Solution

The third proportional to 25,730 and 40,899 is: 65,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730 : 40,899 = 40,899 : x
  2. Step 2: Convert to fraction form
    25,730/40,899 = 40,899/x
  3. Step 3: Cross multiply
    25,730x = 40,899 × 40,899
  4. Step 4: Simplify right side
    25,730x = 1,672,728,201
  5. Step 5: Solve for x
    x = 1,672,728,201/25,730
  6. Step 6: Final answer
    x = 65,010.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.