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Finding the Third Proportional to 25,960 and 56,726

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Solution

The third proportional to 25,960 and 56,726 is: 123,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960 : 56,726 = 56,726 : x
  2. Step 2: Convert to fraction form
    25,960/56,726 = 56,726/x
  3. Step 3: Cross multiply
    25,960x = 56,726 × 56,726
  4. Step 4: Simplify right side
    25,960x = 3,217,839,076
  5. Step 5: Solve for x
    x = 3,217,839,076/25,960
  6. Step 6: Final answer
    x = 123,953.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.