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Finding the Third Proportional to 30,648.88 and 47,476.88

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Solution

The third proportional to 30,648.88 and 47,476.88 is: 73,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.88 : 47,476.88 = 47,476.88 : x
  2. Step 2: Convert to fraction form
    30,648.88/47,476.88 = 47,476.88/x
  3. Step 3: Cross multiply
    30,648.88x = 47,476.88 × 47,476.88
  4. Step 4: Simplify right side
    30,648.88x = 2,254,053,659.77
  5. Step 5: Solve for x
    x = 2,254,053,659.77/30,648.88
  6. Step 6: Final answer
    x = 73,544.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.