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Finding the Third Proportional to 24,085.50 and 37,049.63

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Solution

The third proportional to 24,085.50 and 37,049.63 is: 56,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,085.50 : 37,049.63 = 37,049.63 : x
  2. Step 2: Convert to fraction form
    24,085.50/37,049.63 = 37,049.63/x
  3. Step 3: Cross multiply
    24,085.50x = 37,049.63 × 37,049.63
  4. Step 4: Simplify right side
    24,085.50x = 1,372,674,712.64
  5. Step 5: Solve for x
    x = 1,372,674,712.64/24,085.50
  6. Step 6: Final answer
    x = 56,991.75

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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.