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Finding the Third Proportional to 23,521.64 and 48,672.14

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Solution

The third proportional to 23,521.64 and 48,672.14 is: 100,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,521.64 : 48,672.14 = 48,672.14 : x
  2. Step 2: Convert to fraction form
    23,521.64/48,672.14 = 48,672.14/x
  3. Step 3: Cross multiply
    23,521.64x = 48,672.14 × 48,672.14
  4. Step 4: Simplify right side
    23,521.64x = 2,368,977,273.02
  5. Step 5: Solve for x
    x = 2,368,977,273.02/23,521.64
  6. Step 6: Final answer
    x = 100,714.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.