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Finding the Third Proportional to 43,650 and 56,931.50

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Solution

The third proportional to 43,650 and 56,931.50 is: 74,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,650 : 56,931.50 = 56,931.50 : x
  2. Step 2: Convert to fraction form
    43,650/56,931.50 = 56,931.50/x
  3. Step 3: Cross multiply
    43,650x = 56,931.50 × 56,931.50
  4. Step 4: Simplify right side
    43,650x = 3,241,195,692.25
  5. Step 5: Solve for x
    x = 3,241,195,692.25/43,650
  6. Step 6: Final answer
    x = 74,254.20

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.