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Finding the Third Proportional to 26,146 and 56,586

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Solution

The third proportional to 26,146 and 56,586 is: 122,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,146 : 56,586 = 56,586 : x
  2. Step 2: Convert to fraction form
    26,146/56,586 = 56,586/x
  3. Step 3: Cross multiply
    26,146x = 56,586 × 56,586
  4. Step 4: Simplify right side
    26,146x = 3,201,975,396
  5. Step 5: Solve for x
    x = 3,201,975,396/26,146
  6. Step 6: Final answer
    x = 122,465.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.