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Finding the Third Proportional to 24,257.81 and 37,034.72

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Solution

The third proportional to 24,257.81 and 37,034.72 is: 56,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.81 : 37,034.72 = 37,034.72 : x
  2. Step 2: Convert to fraction form
    24,257.81/37,034.72 = 37,034.72/x
  3. Step 3: Cross multiply
    24,257.81x = 37,034.72 × 37,034.72
  4. Step 4: Simplify right side
    24,257.81x = 1,371,570,392.89
  5. Step 5: Solve for x
    x = 1,371,570,392.89/24,257.81
  6. Step 6: Final answer
    x = 56,541.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.