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Finding the Third Proportional to 33,783.75 and 52,066.13

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Solution

The third proportional to 33,783.75 and 52,066.13 is: 80,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.75 : 52,066.13 = 52,066.13 : x
  2. Step 2: Convert to fraction form
    33,783.75/52,066.13 = 52,066.13/x
  3. Step 3: Cross multiply
    33,783.75x = 52,066.13 × 52,066.13
  4. Step 4: Simplify right side
    33,783.75x = 2,710,881,372.52
  5. Step 5: Solve for x
    x = 2,710,881,372.52/33,783.75
  6. Step 6: Final answer
    x = 80,242.17

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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.