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Finding the Third Proportional to 8,964 and 19,689.75

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Solution

The third proportional to 8,964 and 19,689.75 is: 43,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964 : 19,689.75 = 19,689.75 : x
  2. Step 2: Convert to fraction form
    8,964/19,689.75 = 19,689.75/x
  3. Step 3: Cross multiply
    8,964x = 19,689.75 × 19,689.75
  4. Step 4: Simplify right side
    8,964x = 387,686,255.06
  5. Step 5: Solve for x
    x = 387,686,255.06/8,964
  6. Step 6: Final answer
    x = 43,249.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.