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Finding the Third Proportional to 29,568.38 and 47,023.88

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Solution

The third proportional to 29,568.38 and 47,023.88 is: 74,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,568.38 : 47,023.88 = 47,023.88 : x
  2. Step 2: Convert to fraction form
    29,568.38/47,023.88 = 47,023.88/x
  3. Step 3: Cross multiply
    29,568.38x = 47,023.88 × 47,023.88
  4. Step 4: Simplify right side
    29,568.38x = 2,211,244,820.02
  5. Step 5: Solve for x
    x = 2,211,244,820.02/29,568.38
  6. Step 6: Final answer
    x = 74,784.12

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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.