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Finding the Third Proportional to 25,767 and 40,726

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Solution

The third proportional to 25,767 and 40,726 is: 64,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767 : 40,726 = 40,726 : x
  2. Step 2: Convert to fraction form
    25,767/40,726 = 40,726/x
  3. Step 3: Cross multiply
    25,767x = 40,726 × 40,726
  4. Step 4: Simplify right side
    25,767x = 1,658,607,076
  5. Step 5: Solve for x
    x = 1,658,607,076/25,767
  6. Step 6: Final answer
    x = 64,369.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.