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Finding the Third Proportional to 25,972 and 40,106

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Solution

The third proportional to 25,972 and 40,106 is: 61,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972 : 40,106 = 40,106 : x
  2. Step 2: Convert to fraction form
    25,972/40,106 = 40,106/x
  3. Step 3: Cross multiply
    25,972x = 40,106 × 40,106
  4. Step 4: Simplify right side
    25,972x = 1,608,491,236
  5. Step 5: Solve for x
    x = 1,608,491,236/25,972
  6. Step 6: Final answer
    x = 61,931.74

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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.