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Finding the Third Proportional to 33,618.75 and 45,681.75

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Solution

The third proportional to 33,618.75 and 45,681.75 is: 62,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,618.75 : 45,681.75 = 45,681.75 : x
  2. Step 2: Convert to fraction form
    33,618.75/45,681.75 = 45,681.75/x
  3. Step 3: Cross multiply
    33,618.75x = 45,681.75 × 45,681.75
  4. Step 4: Simplify right side
    33,618.75x = 2,086,822,283.06
  5. Step 5: Solve for x
    x = 2,086,822,283.06/33,618.75
  6. Step 6: Final answer
    x = 62,073.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.