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Finding the Third Proportional to 45,881.88 and 66,825.50

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Solution

The third proportional to 45,881.88 and 66,825.50 is: 97,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,881.88 : 66,825.50 = 66,825.50 : x
  2. Step 2: Convert to fraction form
    45,881.88/66,825.50 = 66,825.50/x
  3. Step 3: Cross multiply
    45,881.88x = 66,825.50 × 66,825.50
  4. Step 4: Simplify right side
    45,881.88x = 4,465,647,450.25
  5. Step 5: Solve for x
    x = 4,465,647,450.25/45,881.88
  6. Step 6: Final answer
    x = 97,329.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.