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Finding the Third Proportional to 35,632.69 and 56,419.88

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Solution

The third proportional to 35,632.69 and 56,419.88 is: 89,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,632.69 : 56,419.88 = 56,419.88 : x
  2. Step 2: Convert to fraction form
    35,632.69/56,419.88 = 56,419.88/x
  3. Step 3: Cross multiply
    35,632.69x = 56,419.88 × 56,419.88
  4. Step 4: Simplify right side
    35,632.69x = 3,183,202,295.02
  5. Step 5: Solve for x
    x = 3,183,202,295.02/35,632.69
  6. Step 6: Final answer
    x = 89,333.77

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.