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Finding the Third Proportional to 30,709.13 and 47,271.09

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Solution

The third proportional to 30,709.13 and 47,271.09 is: 72,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 47,271.09 = 47,271.09 : x
  2. Step 2: Convert to fraction form
    30,709.13/47,271.09 = 47,271.09/x
  3. Step 3: Cross multiply
    30,709.13x = 47,271.09 × 47,271.09
  4. Step 4: Simplify right side
    30,709.13x = 2,234,556,304.32
  5. Step 5: Solve for x
    x = 2,234,556,304.32/30,709.13
  6. Step 6: Final answer
    x = 72,765.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.