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Finding the Third Proportional to 9,711.15 and 21,464.01

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Solution

The third proportional to 9,711.15 and 21,464.01 is: 47,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.15 : 21,464.01 = 21,464.01 : x
  2. Step 2: Convert to fraction form
    9,711.15/21,464.01 = 21,464.01/x
  3. Step 3: Cross multiply
    9,711.15x = 21,464.01 × 21,464.01
  4. Step 4: Simplify right side
    9,711.15x = 460,703,671.99
  5. Step 5: Solve for x
    x = 460,703,671.99/9,711.15
  6. Step 6: Final answer
    x = 47,440.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.