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Finding the Third Proportional to 26,242.50 and 36,514.50

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Solution

The third proportional to 26,242.50 and 36,514.50 is: 50,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,242.50 : 36,514.50 = 36,514.50 : x
  2. Step 2: Convert to fraction form
    26,242.50/36,514.50 = 36,514.50/x
  3. Step 3: Cross multiply
    26,242.50x = 36,514.50 × 36,514.50
  4. Step 4: Simplify right side
    26,242.50x = 1,333,308,710.25
  5. Step 5: Solve for x
    x = 1,333,308,710.25/26,242.50
  6. Step 6: Final answer
    x = 50,807.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.