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Finding the Third Proportional to 29,281.50 and 43,719.75

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Solution

The third proportional to 29,281.50 and 43,719.75 is: 65,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,281.50 : 43,719.75 = 43,719.75 : x
  2. Step 2: Convert to fraction form
    29,281.50/43,719.75 = 43,719.75/x
  3. Step 3: Cross multiply
    29,281.50x = 43,719.75 × 43,719.75
  4. Step 4: Simplify right side
    29,281.50x = 1,911,416,540.06
  5. Step 5: Solve for x
    x = 1,911,416,540.06/29,281.50
  6. Step 6: Final answer
    x = 65,277.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.