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Finding the Third Proportional to 30,184.13 and 65,574.56

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Solution

The third proportional to 30,184.13 and 65,574.56 is: 142,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.13 : 65,574.56 = 65,574.56 : x
  2. Step 2: Convert to fraction form
    30,184.13/65,574.56 = 65,574.56/x
  3. Step 3: Cross multiply
    30,184.13x = 65,574.56 × 65,574.56
  4. Step 4: Simplify right side
    30,184.13x = 4,300,023,247.07
  5. Step 5: Solve for x
    x = 4,300,023,247.07/30,184.13
  6. Step 6: Final answer
    x = 142,459.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.