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Finding the Third Proportional to 25,964 and 40,094

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Solution

The third proportional to 25,964 and 40,094 is: 61,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,964 : 40,094 = 40,094 : x
  2. Step 2: Convert to fraction form
    25,964/40,094 = 40,094/x
  3. Step 3: Cross multiply
    25,964x = 40,094 × 40,094
  4. Step 4: Simplify right side
    25,964x = 1,607,528,836
  5. Step 5: Solve for x
    x = 1,607,528,836/25,964
  6. Step 6: Final answer
    x = 61,913.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.