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Finding the Third Proportional to 48,681 and 65,093.63

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Solution

The third proportional to 48,681 and 65,093.63 is: 87,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,681 : 65,093.63 = 65,093.63 : x
  2. Step 2: Convert to fraction form
    48,681/65,093.63 = 65,093.63/x
  3. Step 3: Cross multiply
    48,681x = 65,093.63 × 65,093.63
  4. Step 4: Simplify right side
    48,681x = 4,237,180,015.64
  5. Step 5: Solve for x
    x = 4,237,180,015.64/48,681
  6. Step 6: Final answer
    x = 87,039.71

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.