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Finding the Third Proportional to 26,204.50 and 40,327.50

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Solution

The third proportional to 26,204.50 and 40,327.50 is: 62,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204.50 : 40,327.50 = 40,327.50 : x
  2. Step 2: Convert to fraction form
    26,204.50/40,327.50 = 40,327.50/x
  3. Step 3: Cross multiply
    26,204.50x = 40,327.50 × 40,327.50
  4. Step 4: Simplify right side
    26,204.50x = 1,626,307,256.25
  5. Step 5: Solve for x
    x = 1,626,307,256.25/26,204.50
  6. Step 6: Final answer
    x = 62,062.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.