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Finding the Third Proportional to 32,783.81 and 48,100.13

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Solution

The third proportional to 32,783.81 and 48,100.13 is: 70,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.81 : 48,100.13 = 48,100.13 : x
  2. Step 2: Convert to fraction form
    32,783.81/48,100.13 = 48,100.13/x
  3. Step 3: Cross multiply
    32,783.81x = 48,100.13 × 48,100.13
  4. Step 4: Simplify right side
    32,783.81x = 2,313,622,025.02
  5. Step 5: Solve for x
    x = 2,313,622,025.02/32,783.81
  6. Step 6: Final answer
    x = 70,572.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.