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Finding the Third Proportional to 25,767 and 41,445

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Solution

The third proportional to 25,767 and 41,445 is: 66,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767 : 41,445 = 41,445 : x
  2. Step 2: Convert to fraction form
    25,767/41,445 = 41,445/x
  3. Step 3: Cross multiply
    25,767x = 41,445 × 41,445
  4. Step 4: Simplify right side
    25,767x = 1,717,688,025
  5. Step 5: Solve for x
    x = 1,717,688,025/25,767
  6. Step 6: Final answer
    x = 66,662.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.