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Finding the Third Proportional to 43,594.50 and 65,101.50

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Solution

The third proportional to 43,594.50 and 65,101.50 is: 97,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,594.50 : 65,101.50 = 65,101.50 : x
  2. Step 2: Convert to fraction form
    43,594.50/65,101.50 = 65,101.50/x
  3. Step 3: Cross multiply
    43,594.50x = 65,101.50 × 65,101.50
  4. Step 4: Simplify right side
    43,594.50x = 4,238,205,302.25
  5. Step 5: Solve for x
    x = 4,238,205,302.25/43,594.50
  6. Step 6: Final answer
    x = 97,218.81

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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.