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Finding the Third Proportional to 26,506 and 57,865

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Solution

The third proportional to 26,506 and 57,865 is: 126,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506 : 57,865 = 57,865 : x
  2. Step 2: Convert to fraction form
    26,506/57,865 = 57,865/x
  3. Step 3: Cross multiply
    26,506x = 57,865 × 57,865
  4. Step 4: Simplify right side
    26,506x = 3,348,358,225
  5. Step 5: Solve for x
    x = 3,348,358,225/26,506
  6. Step 6: Final answer
    x = 126,324.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.