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Finding the Third Proportional to 26,014 and 61,389

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Solution

The third proportional to 26,014 and 61,389 is: 144,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,014 : 61,389 = 61,389 : x
  2. Step 2: Convert to fraction form
    26,014/61,389 = 61,389/x
  3. Step 3: Cross multiply
    26,014x = 61,389 × 61,389
  4. Step 4: Simplify right side
    26,014x = 3,768,609,321
  5. Step 5: Solve for x
    x = 3,768,609,321/26,014
  6. Step 6: Final answer
    x = 144,868.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.