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Finding the Third Proportional to 43,732.41 and 65,587.22

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Solution

The third proportional to 43,732.41 and 65,587.22 is: 98,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,732.41 : 65,587.22 = 65,587.22 : x
  2. Step 2: Convert to fraction form
    43,732.41/65,587.22 = 65,587.22/x
  3. Step 3: Cross multiply
    43,732.41x = 65,587.22 × 65,587.22
  4. Step 4: Simplify right side
    43,732.41x = 4,301,683,263.36
  5. Step 5: Solve for x
    x = 4,301,683,263.36/43,732.41
  6. Step 6: Final answer
    x = 98,363.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.