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Finding the Third Proportional to 43,132.50 and 57,965.63

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Solution

The third proportional to 43,132.50 and 57,965.63 is: 77,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,132.50 : 57,965.63 = 57,965.63 : x
  2. Step 2: Convert to fraction form
    43,132.50/57,965.63 = 57,965.63/x
  3. Step 3: Cross multiply
    43,132.50x = 57,965.63 × 57,965.63
  4. Step 4: Simplify right side
    43,132.50x = 3,360,013,681.64
  5. Step 5: Solve for x
    x = 3,360,013,681.64/43,132.50
  6. Step 6: Final answer
    x = 77,899.81

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.