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Finding the Third Proportional to 26,019 and 61,233.75

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Solution

The third proportional to 26,019 and 61,233.75 is: 144,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019 : 61,233.75 = 61,233.75 : x
  2. Step 2: Convert to fraction form
    26,019/61,233.75 = 61,233.75/x
  3. Step 3: Cross multiply
    26,019x = 61,233.75 × 61,233.75
  4. Step 4: Simplify right side
    26,019x = 3,749,572,139.06
  5. Step 5: Solve for x
    x = 3,749,572,139.06/26,019
  6. Step 6: Final answer
    x = 144,109.00

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.