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Finding the Third Proportional to 21,154.53 and 45,025.72

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Solution

The third proportional to 21,154.53 and 45,025.72 is: 95,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.53 : 45,025.72 = 45,025.72 : x
  2. Step 2: Convert to fraction form
    21,154.53/45,025.72 = 45,025.72/x
  3. Step 3: Cross multiply
    21,154.53x = 45,025.72 × 45,025.72
  4. Step 4: Simplify right side
    21,154.53x = 2,027,315,173.07
  5. Step 5: Solve for x
    x = 2,027,315,173.07/21,154.53
  6. Step 6: Final answer
    x = 95,833.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.