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Finding the Third Proportional to 32,653.75 and 48,853.75

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Solution

The third proportional to 32,653.75 and 48,853.75 is: 73,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653.75 : 48,853.75 = 48,853.75 : x
  2. Step 2: Convert to fraction form
    32,653.75/48,853.75 = 48,853.75/x
  3. Step 3: Cross multiply
    32,653.75x = 48,853.75 × 48,853.75
  4. Step 4: Simplify right side
    32,653.75x = 2,386,688,889.06
  5. Step 5: Solve for x
    x = 2,386,688,889.06/32,653.75
  6. Step 6: Final answer
    x = 73,090.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.