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Finding the Third Proportional to 30,868.13 and 47,584.88

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Solution

The third proportional to 30,868.13 and 47,584.88 is: 73,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.13 : 47,584.88 = 47,584.88 : x
  2. Step 2: Convert to fraction form
    30,868.13/47,584.88 = 47,584.88/x
  3. Step 3: Cross multiply
    30,868.13x = 47,584.88 × 47,584.88
  4. Step 4: Simplify right side
    30,868.13x = 2,264,320,328.77
  5. Step 5: Solve for x
    x = 2,264,320,328.77/30,868.13
  6. Step 6: Final answer
    x = 73,354.64

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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.