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Finding the Third Proportional to 20,029.78 and 43,271.72

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Solution

The third proportional to 20,029.78 and 43,271.72 is: 93,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.78 : 43,271.72 = 43,271.72 : x
  2. Step 2: Convert to fraction form
    20,029.78/43,271.72 = 43,271.72/x
  3. Step 3: Cross multiply
    20,029.78x = 43,271.72 × 43,271.72
  4. Step 4: Simplify right side
    20,029.78x = 1,872,441,643.58
  5. Step 5: Solve for x
    x = 1,872,441,643.58/20,029.78
  6. Step 6: Final answer
    x = 93,482.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.