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Finding the Third Proportional to 29,797.88 and 47,354.63

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Solution

The third proportional to 29,797.88 and 47,354.63 is: 75,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797.88 : 47,354.63 = 47,354.63 : x
  2. Step 2: Convert to fraction form
    29,797.88/47,354.63 = 47,354.63/x
  3. Step 3: Cross multiply
    29,797.88x = 47,354.63 × 47,354.63
  4. Step 4: Simplify right side
    29,797.88x = 2,242,460,508.89
  5. Step 5: Solve for x
    x = 2,242,460,508.89/29,797.88
  6. Step 6: Final answer
    x = 75,255.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.