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Finding the Third Proportional to 11,463 and 15,465.75

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Solution

The third proportional to 11,463 and 15,465.75 is: 20,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463 : 15,465.75 = 15,465.75 : x
  2. Step 2: Convert to fraction form
    11,463/15,465.75 = 15,465.75/x
  3. Step 3: Cross multiply
    11,463x = 15,465.75 × 15,465.75
  4. Step 4: Simplify right side
    11,463x = 239,189,423.06
  5. Step 5: Solve for x
    x = 239,189,423.06/11,463
  6. Step 6: Final answer
    x = 20,866.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.