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Finding the Third Proportional to 20,530.13 and 30,749.63

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Solution

The third proportional to 20,530.13 and 30,749.63 is: 46,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.13 : 30,749.63 = 30,749.63 : x
  2. Step 2: Convert to fraction form
    20,530.13/30,749.63 = 30,749.63/x
  3. Step 3: Cross multiply
    20,530.13x = 30,749.63 × 30,749.63
  4. Step 4: Simplify right side
    20,530.13x = 945,539,437.64
  5. Step 5: Solve for x
    x = 945,539,437.64/20,530.13
  6. Step 6: Final answer
    x = 46,056.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.