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Finding the Third Proportional to 26,404 and 65,534

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Solution

The third proportional to 26,404 and 65,534 is: 162,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,404 : 65,534 = 65,534 : x
  2. Step 2: Convert to fraction form
    26,404/65,534 = 65,534/x
  3. Step 3: Cross multiply
    26,404x = 65,534 × 65,534
  4. Step 4: Simplify right side
    26,404x = 4,294,705,156
  5. Step 5: Solve for x
    x = 4,294,705,156/26,404
  6. Step 6: Final answer
    x = 162,653.58

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.