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Finding the Third Proportional to 26,276 and 40,706

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Solution

The third proportional to 26,276 and 40,706 is: 63,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,276 : 40,706 = 40,706 : x
  2. Step 2: Convert to fraction form
    26,276/40,706 = 40,706/x
  3. Step 3: Cross multiply
    26,276x = 40,706 × 40,706
  4. Step 4: Simplify right side
    26,276x = 1,656,978,436
  5. Step 5: Solve for x
    x = 1,656,978,436/26,276
  6. Step 6: Final answer
    x = 63,060.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.