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Finding the Third Proportional to 26,146 and 39,461

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Solution

The third proportional to 26,146 and 39,461 is: 59,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,146 : 39,461 = 39,461 : x
  2. Step 2: Convert to fraction form
    26,146/39,461 = 39,461/x
  3. Step 3: Cross multiply
    26,146x = 39,461 × 39,461
  4. Step 4: Simplify right side
    26,146x = 1,557,170,521
  5. Step 5: Solve for x
    x = 1,557,170,521/26,146
  6. Step 6: Final answer
    x = 59,556.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.