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Finding the Third Proportional to 26,707.50 and 43,408

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Solution

The third proportional to 26,707.50 and 43,408 is: 70,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,707.50 : 43,408 = 43,408 : x
  2. Step 2: Convert to fraction form
    26,707.50/43,408 = 43,408/x
  3. Step 3: Cross multiply
    26,707.50x = 43,408 × 43,408
  4. Step 4: Simplify right side
    26,707.50x = 1,884,254,464
  5. Step 5: Solve for x
    x = 1,884,254,464/26,707.50
  6. Step 6: Final answer
    x = 70,551.51

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.