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Finding the Third Proportional to 30,145.50 and 65,646.28

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Solution

The third proportional to 30,145.50 and 65,646.28 is: 142,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.50 : 65,646.28 = 65,646.28 : x
  2. Step 2: Convert to fraction form
    30,145.50/65,646.28 = 65,646.28/x
  3. Step 3: Cross multiply
    30,145.50x = 65,646.28 × 65,646.28
  4. Step 4: Simplify right side
    30,145.50x = 4,309,434,241.95
  5. Step 5: Solve for x
    x = 4,309,434,241.95/30,145.50
  6. Step 6: Final answer
    x = 142,954.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.